Sun, Yongliang; Zhang, Yaohua Ladders and completion of triangulated categories. (English) Zbl 07308189 Theory Appl. Categ. 37, 95-106 (2021). MSC: 18A35 18G80 PDF BibTeX XML Cite \textit{Y. Sun} and \textit{Y. Zhang}, Theory Appl. Categ. 37, 95--106 (2021; Zbl 07308189) Full Text: Link
Kvamme, Sondre \(d \mathbb{Z}\)-cluster tilting subcategories of singularity categories. (English) Zbl 07303594 Math. Z. 297, No. 1-2, 803-825 (2021). MSC: 18E10 18E30 16E65 16E35 16G20 13F60 16E45 PDF BibTeX XML Cite \textit{S. Kvamme}, Math. Z. 297, No. 1--2, 803--825 (2021; Zbl 07303594) Full Text: DOI
Herschend, Martin; Jørgensen, Peter Classification of higher wide subcategories for higher Auslander algebras of type \(A\). (English) Zbl 07303207 J. Pure Appl. Algebra 225, No. 5, Article ID 106583, 23 p. (2021). MSC: 16G10 18E30 PDF BibTeX XML Cite \textit{M. Herschend} and \textit{P. Jørgensen}, J. Pure Appl. Algebra 225, No. 5, Article ID 106583, 23 p. (2021; Zbl 07303207) Full Text: DOI
Çanakçı, İlke; Pauksztello, David; Schroll, Sibylle On extensions for gentle algebras. (English) Zbl 07300454 Can. J. Math. 73, No. 1, 249-292 (2021). MSC: 16G10 16E35 18E30 05E10 PDF BibTeX XML Cite \textit{İ. Çanakçı} et al., Can. J. Math. 73, No. 1, 249--292 (2021; Zbl 07300454) Full Text: DOI
Kajiura, Hiroshige Fukaya categories of two-tori revisited. (English) Zbl 07299618 J. Geom. Phys. 160, Article ID 103965, 19 p. (2021). MSC: 53D37 18G70 18G80 PDF BibTeX XML Cite \textit{H. Kajiura}, J. Geom. Phys. 160, Article ID 103965, 19 p. (2021; Zbl 07299618) Full Text: DOI
Herschend, Martin; Liu, Yu; Nakaoka, Hiroyuki \(n\)-exangulated categories (I): definitions and fundamental properties. (English) Zbl 07290700 J. Algebra 570, 531-586 (2021). MSC: 18 PDF BibTeX XML Cite \textit{M. Herschend} et al., J. Algebra 570, 531--586 (2021; Zbl 07290700) Full Text: DOI
Çanakçı, İlke; Pauksztello, David; Schroll, Sibylle Corrigendum to: “Mapping cones for morphisms involving a band complex in the bounded derived category of a gentle algebra”. (English) Zbl 07286506 J. Algebra 569, 856-874 (2021). MSC: 18G80 18E35 16G10 05E10 PDF BibTeX XML Cite \textit{İ. Çanakçı} et al., J. Algebra 569, 856--874 (2021; Zbl 07286506) Full Text: DOI
Hu, Jiangsheng; Zhang, Dongdong; Zhou, Panyue Two new classes of \(n\)-exangulated categories. (English) Zbl 07285328 J. Algebra 568, 1-21 (2021). MSC: 18G80 18E10 18G05 PDF BibTeX XML Cite \textit{J. Hu} et al., J. Algebra 568, 1--21 (2021; Zbl 07285328) Full Text: DOI
Breaz, Simion; Modoi, George Ciprian Ideal cotorsion theories in triangulated categories. (English) Zbl 07282606 J. Algebra 567, 475-532 (2021). MSC: 18G15 18G80 16E30 16E05 PDF BibTeX XML Cite \textit{S. Breaz} and \textit{G. C. Modoi}, J. Algebra 567, 475--532 (2021; Zbl 07282606) Full Text: DOI
Hrbek, Michal; Nakamura, Tsutomu Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings. (English) Zbl 1450.13006 J. Pure Appl. Algebra 225, No. 4, Article ID 106571, 13 p. (2021). MSC: 13D09 18G80 PDF BibTeX XML Cite \textit{M. Hrbek} and \textit{T. Nakamura}, J. Pure Appl. Algebra 225, No. 4, Article ID 106571, 13 p. (2021; Zbl 1450.13006) Full Text: DOI
Rump, Wolfgang The acyclic closure of an exact category and its triangulation. (English) Zbl 1451.18022 J. Algebra 565, 402-440 (2021). Reviewer: Panyue Zhou (Yueyang) MSC: 18E10 18G80 18G35 18E35 16G50 16H20 PDF BibTeX XML Cite \textit{W. Rump}, J. Algebra 565, 402--440 (2021; Zbl 1451.18022) Full Text: DOI
Liu, Dajun; Wei, Jiaqun On \(S\)-exchange rings. (English) Zbl 07303800 Bull. Korean Math. Soc. 57, No. 4, 945-956 (2020). MSC: 18G35 16G10 18E30 16E05 PDF BibTeX XML Cite \textit{D. Liu} and \textit{J. Wei}, Bull. Korean Math. Soc. 57, No. 4, 945--956 (2020; Zbl 07303800) Full Text: DOI
Schiffler, Ralf; Serna, Robinson-Julian A geometric realization of socle-projective categories for posets of type \(\mathbb{A}\). (English) Zbl 07299907 J. Pure Appl. Algebra 224, No. 12, Article ID 106436, 22 p. (2020). MSC: 16G20 16G60 16G70 13F60 16D90 18G80 PDF BibTeX XML Cite \textit{R. Schiffler} and \textit{R.-J. Serna}, J. Pure Appl. Algebra 224, No. 12, Article ID 106436, 22 p. (2020; Zbl 07299907) Full Text: DOI
Zheng, Min; Chen, Qinghua \({K_i}\)-group of \(t\)-structure of triangulated category. (Chinese. English summary) Zbl 07295639 J. Shandong Univ., Nat. Sci. 55, No. 8, 48-53, 58 (2020). MSC: 18F25 18G80 PDF BibTeX XML Cite \textit{M. Zheng} and \textit{Q. Chen}, J. Shandong Univ., Nat. Sci. 55, No. 8, 48--53, 58 (2020; Zbl 07295639) Full Text: DOI
Ma, Xin; Yang, Xiaoyan The existence of homotopy resolutions relative to the subcategory. (Chinese. English summary) Zbl 07294912 Acta Math. Sin., Chin. Ser. 63, No. 1, 77-88 (2020). MSC: 18G80 18G35 PDF BibTeX XML Cite \textit{X. Ma} and \textit{X. Yang}, Acta Math. Sin., Chin. Ser. 63, No. 1, 77--88 (2020; Zbl 07294912)
Zimmermann, Alexander Green correspondence and relative projectivity for pairs of adjoint functors between triangulated categories. (English) Zbl 07291161 Pac. J. Math. 308, No. 2, 473-509 (2020). MSC: 16E35 16S34 18D10 18E30 20C05 PDF BibTeX XML Cite \textit{A. Zimmermann}, Pac. J. Math. 308, No. 2, 473--509 (2020; Zbl 07291161) Full Text: DOI
Matsui, Hiroki; Takahashi, Ryo Construction of spectra of triangulated categories and applications to commutative rings. (English) Zbl 07290151 J. Math. Soc. Japan 72, No. 4, 1283-1307 (2020). MSC: 18E30 13D09 13H10 PDF BibTeX XML Cite \textit{H. Matsui} and \textit{R. Takahashi}, J. Math. Soc. Japan 72, No. 4, 1283--1307 (2020; Zbl 07290151) Full Text: DOI Euclid
Li, Huanhuan; Huang, Zhaoyong Relative singularity categories. II. (English) Zbl 07285728 Kodai Math. J. 43, No. 3, 431-453 (2020). MSC: 18E30 16E35 18G25 PDF BibTeX XML Cite \textit{H. Li} and \textit{Z. Huang}, Kodai Math. J. 43, No. 3, 431--453 (2020; Zbl 07285728) Full Text: DOI Euclid
Balchin, Scott; Greenlees, J. P. C. Adelic models of tensor-triangulated categories. (English) Zbl 07281386 Adv. Math. 375, Article ID 107339, 45 p. (2020). Reviewer: Luca Pol (Regensburg) MSC: 55P60 18N40 13Dxx PDF BibTeX XML Cite \textit{S. Balchin} and \textit{J. P. C. Greenlees}, Adv. Math. 375, Article ID 107339, 45 p. (2020; Zbl 07281386) Full Text: DOI
Hanihara, Norihiro Auslander correspondence for triangulated categories. (English) Zbl 1451.18031 Algebra Number Theory 14, No. 8, 2037-2058 (2020). Reviewer: Liping Li (Changsha) MSC: 18G80 16E05 16E65 16G70 PDF BibTeX XML Cite \textit{N. Hanihara}, Algebra Number Theory 14, No. 8, 2037--2058 (2020; Zbl 1451.18031) Full Text: DOI
Bahiraei, Payam Cotorsion pairs and adjoint functors in the homotopy category of \(N\)-complexes. (English) Zbl 1451.18028 J. Algebra Appl. 19, No. 12, Article ID 2050236, 19 p. (2020). MSC: 18G80 18E10 55U35 18N40 PDF BibTeX XML Cite \textit{P. Bahiraei}, J. Algebra Appl. 19, No. 12, Article ID 2050236, 19 p. (2020; Zbl 1451.18028) Full Text: DOI
Savoji, Fatemeh; Sazeedeh, Reza Local cohomology in Grothendieck categories. (English) Zbl 07272767 J. Algebra Appl. 19, No. 11, Article ID 2050222, 21 p. (2020). MSC: 18E15 18E30 18E40 PDF BibTeX XML Cite \textit{F. Savoji} and \textit{R. Sazeedeh}, J. Algebra Appl. 19, No. 11, Article ID 2050222, 21 p. (2020; Zbl 07272767) Full Text: DOI
Wang, Junpeng; Di, Zhenxing Relative Gorenstein rings and duality pairs. (English) Zbl 07272209 J. Algebra Appl. 19, No. 8, Article ID 2050147, 22 p. (2020). MSC: 18G25 16E65 PDF BibTeX XML Cite \textit{J. Wang} and \textit{Z. Di}, J. Algebra Appl. 19, No. 8, Article ID 2050147, 22 p. (2020; Zbl 07272209) Full Text: DOI
Zheng, Qilian; Wei, Jiaqun One-sided triangulated categories induced by concentric twin cotorsion pairs. (English) Zbl 07272204 J. Algebra Appl. 19, No. 8, Article ID 2050142, 39 p. (2020). MSC: 18A40 18E10 18G80 PDF BibTeX XML Cite \textit{Q. Zheng} and \textit{J. Wei}, J. Algebra Appl. 19, No. 8, Article ID 2050142, 39 p. (2020; Zbl 07272204) Full Text: DOI
Dajun, Liu; Wei, Jiaqun Gorenstein tilting pair. (English) Zbl 1446.18011 Commun. Algebra 48, No. 9, 3846-3858 (2020). MSC: 18G35 16G10 18G80 16E05 PDF BibTeX XML Cite \textit{L. Dajun} and \textit{J. Wei}, Commun. Algebra 48, No. 9, 3846--3858 (2020; Zbl 1446.18011) Full Text: DOI
Keller, Bernhard; Krause, Henning Tilting preserves finite global dimension. (English) Zbl 1451.18032 C. R., Math., Acad. Sci. Paris 358, No. 5, 563-570 (2020). Reviewer: Panyue Zhou (Yueyang) MSC: 18G80 18G20 PDF BibTeX XML Cite \textit{B. Keller} and \textit{H. Krause}, C. R., Math., Acad. Sci. Paris 358, No. 5, 563--570 (2020; Zbl 1451.18032) Full Text: DOI
Wang, Minxiong; Zheng, Yan Stabilization of a left \(n\)-angulated category and its Grothendieck group. (Chinese. English summary) Zbl 07266373 Adv. Math., Beijing 49, No. 1, 39-48 (2020). MSC: 18G80 18F30 PDF BibTeX XML Cite \textit{M. Wang} and \textit{Y. Zheng}, Adv. Math., Beijing 49, No. 1, 39--48 (2020; Zbl 07266373) Full Text: DOI
Bondarko, M. V.; Vostokov, S. V. On weakly negative subcategories, weight structures, and (weakly) approximable triangulated categories. (English) Zbl 1450.18005 Lobachevskii J. Math. 41, No. 2, 151-159 (2020). MSC: 18G80 PDF BibTeX XML Cite \textit{M. V. Bondarko} and \textit{S. V. Vostokov}, Lobachevskii J. Math. 41, No. 2, 151--159 (2020; Zbl 1450.18005) Full Text: DOI
Ogawa, Yasuaki General heart construction and the Gabriel-Quillen embedding. (English) Zbl 1450.18002 Sato, Masahisa (ed.), Proceedings of the 52nd symposium on ring theory and representation theory, Nagoya University, Japan, August 26–31, 2019. Shizuoka: Symposium on Ring Theory and Representation Theory Organizing Committee. 96-101 (2020). MSC: 18E10 18G80 18E35 PDF BibTeX XML Cite \textit{Y. Ogawa}, in: Proceedings of the 52nd symposium on ring theory and representation theory, Nagoya University, Japan, August 26--31, 2019. Shizuoka: Symposium on Ring Theory and Representation Theory Organizing Committee. 96--101 (2020; Zbl 1450.18002)
Krause, Henning Completing perfect complexes. (English) Zbl 07263162 Math. Z. 296, No. 3-4, 1387-1427 (2020). MSC: 18G80 14F05 16E35 55P42 PDF BibTeX XML Cite \textit{H. Krause}, Math. Z. 296, No. 3--4, 1387--1427 (2020; Zbl 07263162) Full Text: DOI
Toda, Yukinobu Hall algebras in the derived category and higher-rank DT invariants. (English) Zbl 07262966 Algebr. Geom. 7, No. 3, 240-262 (2020). MSC: 14D20 14J32 18E30 PDF BibTeX XML Cite \textit{Y. Toda}, Algebr. Geom. 7, No. 3, 240--262 (2020; Zbl 07262966) Full Text: DOI
Xu, Huabo Derived equivalences and higher \(K\)-groups of a class of KLR algebras. (English) Zbl 1448.18023 Commun. Algebra 48, No. 12, 5360-5371 (2020). MSC: 18G80 16G10 13B30 16S10 16E35 13F05 16D90 PDF BibTeX XML Cite \textit{H. Xu}, Commun. Algebra 48, No. 12, 5360--5371 (2020; Zbl 1448.18023) Full Text: DOI
Hassoun, Souheila; Shah, Amit Integral and quasi-abelian hearts of twin cotorsion pairs on extriangulated categories. (English) Zbl 1445.18003 Commun. Algebra 48, No. 12, 5142-5162 (2020). Reviewer: Panyue Zhou (Yueyang) MSC: 18E05 18E10 18G80 18E35 18E40 16G99 PDF BibTeX XML Cite \textit{S. Hassoun} and \textit{A. Shah}, Commun. Algebra 48, No. 12, 5142--5162 (2020; Zbl 1445.18003) Full Text: DOI
Liu, Qunhua; Yang, Dong Examples of finite dimensional algebras which do not satisfy the derived Jordan-Hölder property. (English) Zbl 07246660 Algebr. Represent. Theory 23, No. 4, 1761-1779 (2020). MSC: 16E35 18E30 16G20 PDF BibTeX XML Cite \textit{Q. Liu} and \textit{D. Yang}, Algebr. Represent. Theory 23, No. 4, 1761--1779 (2020; Zbl 07246660) Full Text: DOI
Burgstaller, Bernhard Attempts to define a Baum-Connes map via localization of categories for inverse semigroups. (English) Zbl 07243649 Aust. J. Math. Anal. Appl. 17, No. 2, Article No. 1, 22 p. (2020). MSC: 19K35 20M18 18G80 46L55 PDF BibTeX XML Cite \textit{B. Burgstaller}, Aust. J. Math. Anal. Appl. 17, No. 2, Article No. 1, 22 p. (2020; Zbl 07243649) Full Text: Link
Vahed, Razieh On the existence of recollements of functor categories. (English) Zbl 1441.18018 Commun. Algebra 48, No. 7, 3133-3156 (2020). MSC: 18G80 16E35 16G10 PDF BibTeX XML Cite \textit{R. Vahed}, Commun. Algebra 48, No. 7, 3133--3156 (2020; Zbl 1441.18018) Full Text: DOI
Aramaki, Daisuke; Takahashi, Atsushi Maximally-graded matrix factorizations for an invertible polynomial of chain type. (English) Zbl 07243321 Adv. Math. 373, Article ID 107320, 23 p. (2020). MSC: 14 PDF BibTeX XML Cite \textit{D. Aramaki} and \textit{A. Takahashi}, Adv. Math. 373, Article ID 107320, 23 p. (2020; Zbl 07243321) Full Text: DOI
Li, Huanhuan; Zheng, Yuefei; Hu, Jiangsheng; Zhu, Haiyan Gorenstein projective modules and recollements over triangular matrix rings. (English) Zbl 1443.18007 Commun. Algebra 48, No. 11, 4932-4947 (2020). MSC: 18G80 16E35 18G20 PDF BibTeX XML Cite \textit{H. Li} et al., Commun. Algebra 48, No. 11, 4932--4947 (2020; Zbl 1443.18007) Full Text: DOI
Zhou, Panyue Filtered objects in extriangulated categories. (English) Zbl 07243271 Commun. Algebra 48, No. 11, 4580-4595 (2020). MSC: 18G80 18E10 PDF BibTeX XML Cite \textit{P. Zhou}, Commun. Algebra 48, No. 11, 4580--4595 (2020; Zbl 07243271) Full Text: DOI
Bobiński, Grzegorz; Schmude, Janusz Derived Hall algebras of one-cycle gentle algebras: the infinite global dimension case. (English) Zbl 1441.18017 J. Algebra 563, 148-197 (2020). MSC: 18G80 16G20 PDF BibTeX XML Cite \textit{G. Bobiński} and \textit{J. Schmude}, J. Algebra 563, 148--197 (2020; Zbl 1441.18017) Full Text: DOI
Muro, Fernando The first obstructions to enhancing a triangulated category. (English) Zbl 07242463 Math. Z. 296, No. 1-2, 719-759 (2020). MSC: 18E30 16E40 18G50 18G60 18E30 16G70 PDF BibTeX XML Cite \textit{F. Muro}, Math. Z. 296, No. 1--2, 719--759 (2020; Zbl 07242463) Full Text: DOI
Bak, Rune Harder Dualizable and semi-flat objects in abstract module categories. (English) Zbl 1443.18003 Math. Z. 296, No. 1-2, 353-371 (2020). MSC: 18E10 16E45 18G35 14F99 14F08 18G80 PDF BibTeX XML Cite \textit{R. H. Bak}, Math. Z. 296, No. 1--2, 353--371 (2020; Zbl 1443.18003) Full Text: DOI
Čoupek, Pavel; Šťovíček, Jan Cotilting sheaves on Noetherian schemes. (English) Zbl 1446.18006 Math. Z. 296, No. 1-2, 275-312 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18C10 03E55 03G30 18-02 18G80 PDF BibTeX XML Cite \textit{P. Čoupek} and \textit{J. Šťovíček}, Math. Z. 296, No. 1--2, 275--312 (2020; Zbl 1446.18006) Full Text: DOI
Wang, Minxiong; Zheng, Yan Localization of \(n\)-angulated categories. (Chinese. English summary) Zbl 1449.18002 J. Math., Wuhan Univ. 40, No. 1, 61-69 (2020). MSC: 18E35 18G80 PDF BibTeX XML Cite \textit{M. Wang} and \textit{Y. Zheng}, J. Math., Wuhan Univ. 40, No. 1, 61--69 (2020; Zbl 1449.18002) Full Text: DOI
Liu, Dajun; Wei, Jiaqun Homological properties of semi-Wakamatsu-tilting modules. (English) Zbl 1440.18017 Bull. Korean Math. Soc. 57, No. 3, 781-802 (2020). MSC: 18G35 16G10 18G80 16E05 PDF BibTeX XML Cite \textit{D. Liu} and \textit{J. Wei}, Bull. Korean Math. Soc. 57, No. 3, 781--802 (2020; Zbl 1440.18017) Full Text: DOI
Bondarko, Mikhail Vladimirovich On infinite effectivity of motivic spectra and the vanishing of their motives. (English) Zbl 07225793 Doc. Math. 25, 811-840 (2020). MSC: 18G80 14F42 14C15 55P42 11E81 14F20 18E40 PDF BibTeX XML Cite \textit{M. V. Bondarko}, Doc. Math. 25, 811--840 (2020; Zbl 07225793) Full Text: DOI
Hensel, Felix Stability conditions and Lagrangian cobordisms. (English) Zbl 1446.53068 J. Symplectic Geom. 18, No. 2, 463-536 (2020). Reviewer: Andrew Bucki (Edmond) MSC: 53D37 57R90 PDF BibTeX XML Cite \textit{F. Hensel}, J. Symplectic Geom. 18, No. 2, 463--536 (2020; Zbl 1446.53068) Full Text: DOI
Cao, Tianya; Ren, Wei Pure derived and pure singularity categories. (English) Zbl 1440.18021 J. Algebra Appl. 19, No. 6, Article ID 2050117, 13 p. (2020). MSC: 18G80 18E10 16E30 PDF BibTeX XML Cite \textit{T. Cao} and \textit{W. Ren}, J. Algebra Appl. 19, No. 6, Article ID 2050117, 13 p. (2020; Zbl 1440.18021) Full Text: DOI
Positselski, Leonid Pseudo-dualizing complexes and pseudo-derived categories. (English) Zbl 07219817 Rend. Semin. Mat. Univ. Padova 143, 153-225 (2020). MSC: 16E35 16D90 18G80 18E10 18E30 16D70 18G10 PDF BibTeX XML Cite \textit{L. Positselski}, Rend. Semin. Mat. Univ. Padova 143, 153--225 (2020; Zbl 07219817) Full Text: DOI
Neeman, Amnon Grothendieck duality made simple. (English) Zbl 1442.14062 Cortiñas, Guillermo (ed.) et al., \(K\)-theory in algebra, analysis and topology. ICM 2018 satellite school and workshop, La Plata and Buenos Aires, Argentina, July 16–20 and July 23–27, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 749, 279-325 (2020). MSC: 14F08 18G80 13D09 18G10 PDF BibTeX XML Cite \textit{A. Neeman}, Contemp. Math. 749, 279--325 (2020; Zbl 1442.14062) Full Text: DOI
Barbieri-Viale, Luca; Huber, Annette; Prest, Mike Tensor structure for Nori motives. (English) Zbl 07212255 Pac. J. Math. 306, No. 1, 1-30 (2020). MSC: 14F99 18E10 18G80 03C60 PDF BibTeX XML Cite \textit{L. Barbieri-Viale} et al., Pac. J. Math. 306, No. 1, 1--30 (2020; Zbl 07212255) Full Text: DOI
Bazzoni, Silvana; Herzog, Ivo; Příhoda, Pavel; Šaroch, Jan; Trlifaj, Jan Pure projective tilting modules. (English) Zbl 1446.18008 Doc. Math. 25, 401-424 (2020). Reviewer: Luz Adriana Mejia (Barranquilla) MSC: 18E45 18E10 16B70 16D90 18G10 18G80 PDF BibTeX XML Cite \textit{S. Bazzoni} et al., Doc. Math. 25, 401--424 (2020; Zbl 1446.18008) Full Text: DOI
Zhu, Bin; Zhuang, Xiao Tilting subcategories in extriangulated categories. (English) Zbl 1440.18026 Front. Math. China 15, No. 1, 225-253 (2020). Reviewer: Panyue Zhou (Yueyang) MSC: 18G80 16G10 16D90 PDF BibTeX XML Cite \textit{B. Zhu} and \textit{X. Zhuang}, Front. Math. China 15, No. 1, 225--253 (2020; Zbl 1440.18026) Full Text: DOI
Hinich, Vladimir So, what is a derived functor? (English) Zbl 1440.18015 Homology Homotopy Appl. 22, No. 2, 279-293 (2020). MSC: 18G10 18N60 18G80 PDF BibTeX XML Cite \textit{V. Hinich}, Homology Homotopy Appl. 22, No. 2, 279--293 (2020; Zbl 1440.18015) Full Text: DOI
Hrbek, Michal Compactly generated t-structures in the derived category of a commutative ring. (English) Zbl 1442.13045 Math. Z. 295, No. 1-2, 47-72 (2020). Reviewer: Marek Golasiński (Olsztyn) MSC: 13D09 18G80 13C05 13D30 18G35 PDF BibTeX XML Cite \textit{M. Hrbek}, Math. Z. 295, No. 1--2, 47--72 (2020; Zbl 1442.13045) Full Text: DOI
Cooper, Benjamin; Samuelson, Peter The Hall algebras of surfaces. I. (English) Zbl 1440.53098 J. Inst. Math. Jussieu 19, No. 3, 971-1028 (2020). MSC: 53D37 17B37 PDF BibTeX XML Cite \textit{B. Cooper} and \textit{P. Samuelson}, J. Inst. Math. Jussieu 19, No. 3, 971--1028 (2020; Zbl 1440.53098) Full Text: DOI
Wang, Botong; Budur, Nero Absolute sets and the decomposition theorem. (English) Zbl 07201745 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 469-536 (2020). MSC: 14F08 14D20 18F25 18G80 14F10 14F45 32C38 14D05 PDF BibTeX XML Cite \textit{B. Wang} and \textit{N. Budur}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 469--536 (2020; Zbl 07201745) Full Text: DOI
Bazzoni, Silvana; Positselski, Leonid Matlis category equivalences for a ring epimorphism. (English) Zbl 07195692 J. Pure Appl. Algebra 224, No. 10, Article ID 106398, 24 p. (2020). MSC: 16E30 16E35 16D90 13D05 13D30 18E10 PDF BibTeX XML Cite \textit{S. Bazzoni} and \textit{L. Positselski}, J. Pure Appl. Algebra 224, No. 10, Article ID 106398, 24 p. (2020; Zbl 07195692) Full Text: DOI
Le Meur, Patrick Crossed products of Calabi-Yau algebras by finite groups. (English) Zbl 07195688 J. Pure Appl. Algebra 224, No. 10, Article ID 106394, 43 p. (2020). MSC: 16S35 16G20 16G70 16W22 18G80 18G20 PDF BibTeX XML Cite \textit{P. Le Meur}, J. Pure Appl. Algebra 224, No. 10, Article ID 106394, 43 p. (2020; Zbl 07195688) Full Text: DOI
Asadollahi, Javad J.; Asadollahi, Najmeh N.; Hafezi, Rasool; Vahed, Razieh Auslander’s formula: variations and applications. (English) Zbl 1442.18031 Kyoto J. Math. 60, No. 1, 61-91 (2020). Reviewer: Marek Golasiński (Olsztyn) MSC: 18G80 16E35 18E10 PDF BibTeX XML Cite \textit{J. J. Asadollahi} et al., Kyoto J. Math. 60, No. 1, 61--91 (2020; Zbl 1442.18031) Full Text: DOI Euclid
Li, Huanhuan An explicit ladder of homotopy categories. (English) Zbl 1436.16012 Chin. Ann. Math., Ser. B 41, No. 2, 209-226 (2020). MSC: 16G10 18G80 18G35 PDF BibTeX XML Cite \textit{H. Li}, Chin. Ann. Math., Ser. B 41, No. 2, 209--226 (2020; Zbl 1436.16012) Full Text: DOI
Xu, Jinde; Yang, Yichao A Bongartz-type lemma for silting complexes over a hereditary algebra. (English) Zbl 07184181 Arch. Math. 114, No. 4, 383-389 (2020). MSC: 16G10 18E30 PDF BibTeX XML Cite \textit{J. Xu} and \textit{Y. Yang}, Arch. Math. 114, No. 4, 383--389 (2020; Zbl 07184181) Full Text: DOI
Brown, Michael K.; Walker, Mark E. Standard conjecture \(D\) for matrix factorizations. (English) Zbl 07183748 Adv. Math. 366, Article ID 107092, 40 p. (2020). MSC: 14A22 14F08 18G80 32S35 32S55 PDF BibTeX XML Cite \textit{M. K. Brown} and \textit{M. E. Walker}, Adv. Math. 366, Article ID 107092, 40 p. (2020; Zbl 07183748) Full Text: DOI
Di, Zhenxing; Liu, Zhongkui; Wei, Jiaqun On triangle equivalences of stable categories. (English) Zbl 1451.13050 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 955-974 (2020). Reviewer: Li Liang (Lanzhou) MSC: 13D05 16E35 18G25 18G80 PDF BibTeX XML Cite \textit{Z. Di} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 955--974 (2020; Zbl 1451.13050) Full Text: DOI
Chen, Yiping; Hu, Wei Approximations, ghosts and derived equivalences. (English) Zbl 1442.18033 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 813-840 (2020). MSC: 18G80 20K40 18G35 16G10 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{W. Hu}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 813--840 (2020; Zbl 1442.18033) Full Text: DOI
Coelho Simões, Raquel; Pauksztello, David Simple-minded systems and reduction for negative Calabi-Yau triangulated categories. (English) Zbl 1435.18015 Trans. Am. Math. Soc. 373, No. 4, 2463-2498 (2020). Reviewer: Panyue Zhou (Yueyang) MSC: 18G80 16G10 PDF BibTeX XML Cite \textit{R. Coelho Simões} and \textit{D. Pauksztello}, Trans. Am. Math. Soc. 373, No. 4, 2463--2498 (2020; Zbl 1435.18015) Full Text: DOI
Lin, Zengqiang Abelian quotients of categories of short exact sequences. (English) Zbl 1435.16003 J. Algebra 551, 61-92 (2020). Reviewer: Wolfgang Rump (Stuttgart) MSC: 16G70 16G10 18G05 18E10 18G80 PDF BibTeX XML Cite \textit{Z. Lin}, J. Algebra 551, 61--92 (2020; Zbl 1435.16003) Full Text: DOI
Di, Zhenxing; Wang, Pengfei On finite resolutions in triangulated categories. (English) Zbl 1435.18016 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 619-640 (2020). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 18G80 18G10 PDF BibTeX XML Cite \textit{Z. Di} and \textit{P. Wang}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 619--640 (2020; Zbl 1435.18016) Full Text: DOI
Beckmann, Thorsten Birational geometry of moduli spaces of stable objects on Enriques surfaces. (English) Zbl 07169735 Sel. Math., New Ser. 26, No. 1, Paper No. 14, 18 p. (2020). MSC: 14D20 18E30 14C15 14E30 14J28 PDF BibTeX XML Cite \textit{T. Beckmann}, Sel. Math., New Ser. 26, No. 1, Paper No. 14, 18 p. (2020; Zbl 07169735) Full Text: DOI
Rizzardo, Alice; Van den Bergh, Michel A \(k\)-linear triangulated category without a model. (English) Zbl 1433.18009 Ann. Math. (2) 191, No. 2, 393-437 (2020). Reviewer: Arvid Siqveland (Kongsberg) MSC: 18G80 18G35 18N60 13D09 14A22 PDF BibTeX XML Cite \textit{A. Rizzardo} and \textit{M. Van den Bergh}, Ann. Math. (2) 191, No. 2, 393--437 (2020; Zbl 1433.18009) Full Text: DOI arXiv
Hu, Yonggang; Yao, Hailou; Fu, Xuerong Tilting objects in triangulated categories. (English) Zbl 1432.18014 Commun. Algebra 48, No. 1, 410-429 (2020). Reviewer: Panyue Zhou (Yueyang) MSC: 18G80 18E05 18E10 PDF BibTeX XML Cite \textit{Y. Hu} et al., Commun. Algebra 48, No. 1, 410--429 (2020; Zbl 1432.18014) Full Text: DOI
Loregian, Fosco; Virili, Simone Triangulated factorization systems and \(t\)-structures. (English) Zbl 1435.18018 J. Algebra 550, 219-241 (2020). Reviewer: Panyue Zhou (Yueyang) MSC: 18G80 18E35 13D09 18G99 PDF BibTeX XML Cite \textit{F. Loregian} and \textit{S. Virili}, J. Algebra 550, 219--241 (2020; Zbl 1435.18018) Full Text: DOI
Tang, Xi; Huang, Zhaoyong Higher differential objects in additive categories. (English) Zbl 1432.18009 J. Algebra 549, 128-164 (2020). Reviewer: Xiao-Wu Chen (Hefei) MSC: 18G05 18E10 18G80 PDF BibTeX XML Cite \textit{X. Tang} and \textit{Z. Huang}, J. Algebra 549, 128--164 (2020; Zbl 1432.18009) Full Text: DOI
Rennemo, Jørgen Vold The homological projective dual of \(\operatorname{Sym}^2\mathbb{P}(V)\). (English) Zbl 07159517 Compos. Math. 156, No. 3, 476-525 (2020). MSC: 14F08 14J33 16E35 53D37 18G80 PDF BibTeX XML Cite \textit{J. V. Rennemo}, Compos. Math. 156, No. 3, 476--525 (2020; Zbl 07159517) Full Text: DOI
Darpö, Erik; Iyama, Osamu \(d\)-representation-finite self-injective algebras. (English) Zbl 07154864 Adv. Math. 362, Article ID 106932, 50 p. (2020). MSC: 16G10 16D50 16G70 18A25 18E30 PDF BibTeX XML Cite \textit{E. Darpö} and \textit{O. Iyama}, Adv. Math. 362, Article ID 106932, 50 p. (2020; Zbl 07154864) Full Text: DOI
Jørgensen, Peter; Yakimov, Milen C-vectors of 2-Calabi-Yau categories and Borel subalgebras of \(\mathfrak{sl}_\infty \). (English) Zbl 07149856 Sel. Math., New Ser. 26, No. 1, Paper No. 1, 46 p. (2020). MSC: 17B22 17B65 18E30 PDF BibTeX XML Cite \textit{P. Jørgensen} and \textit{M. Yakimov}, Sel. Math., New Ser. 26, No. 1, Paper No. 1, 46 p. (2020; Zbl 07149856) Full Text: DOI arXiv
Pressland, Matthew Mutation of frozen Jacobian algebras. (English) Zbl 07148875 J. Algebra 546, 236-273 (2020). MSC: 16G20 16S38 18E10 18E30 PDF BibTeX XML Cite \textit{M. Pressland}, J. Algebra 546, 236--273 (2020; Zbl 07148875) Full Text: DOI
Jacobsen, Karin M.; Jørgensen, Peter Maximal \(\tau_d\)-rigid pairs. (English) Zbl 07148869 J. Algebra 546, 119-134 (2020). MSC: 16G10 18E10 18E30 PDF BibTeX XML Cite \textit{K. M. Jacobsen} and \textit{P. Jørgensen}, J. Algebra 546, 119--134 (2020; Zbl 07148869) Full Text: DOI
Yekutieli, Amnon Derived categories. (English) Zbl 1444.18001 Cambridge Studies in Advanced Mathematics 183. Cambridge: Cambridge University Press (ISBN 978-1-108-41933-8/hbk; 978-1-108-29282-5/ebook). xi, 607 p. (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18-01 18G80 PDF BibTeX XML Cite \textit{A. Yekutieli}, Derived categories. Cambridge: Cambridge University Press (2020; Zbl 1444.18001) Full Text: DOI
Barthel, Tobias; Greenlees, J. P. C.; Hausmann, Markus On the Balmer spectrum for compact Lie groups. (English) Zbl 1431.55012 Compos. Math. 156, No. 1, 39-76 (2020). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P91 55P42 18G80 PDF BibTeX XML Cite \textit{T. Barthel} et al., Compos. Math. 156, No. 1, 39--76 (2020; Zbl 1431.55012) Full Text: DOI arXiv
Hörmann, Fritz Enlargement of (fibered) derivators. (English) Zbl 07125483 J. Pure Appl. Algebra 224, No. 3, 1023-1063 (2020). MSC: 55U35 18D10 18D30 18E30 18G99 PDF BibTeX XML Cite \textit{F. Hörmann}, J. Pure Appl. Algebra 224, No. 3, 1023--1063 (2020; Zbl 07125483) Full Text: DOI
Balmer, Paul Nilpotence theorems via homological residue fields. (English) Zbl 1427.18010 Tunis. J. Math. 2, No. 2, 359-378 (2020). Reviewer: Nadia Mazza (Lancaster) MSC: 18G80 20J05 55U35 PDF BibTeX XML Cite \textit{P. Balmer}, Tunis. J. Math. 2, No. 2, 359--378 (2020; Zbl 1427.18010) Full Text: DOI
Hori, Kentaro; Romo, Mauricio Notes on the hemisphere. (English) Zbl 07276141 Hori, Kentaro (ed.) et al., Primitive forms and related subjects – Kavli IPMU 2014. Proceedings of the international conference, University of Tokyo, Tokyo, Japan, February 10–14, 2014. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-085-3/hbk). Advanced Studies in Pure Mathematics 83, 127-220 (2019). MSC: 81T60 14D05 14J33 14N35 18E30 32S40 53D37 53D45 81T13 81T30 81T40 81T45 PDF BibTeX XML Cite \textit{K. Hori} and \textit{M. Romo}, Adv. Stud. Pure Math. 83, 127--220 (2019; Zbl 07276141) Full Text: DOI Euclid
Huang, Wenlin On the quotient category of the module category of a finite group and its equivalence. (Chinese. English summary) Zbl 1449.16015 J. Zhejiang Univ., Sci. Ed. 46, No. 6, 651-655, 665 (2019). MSC: 16D90 18E35 18G80 PDF BibTeX XML Cite \textit{W. Huang}, J. Zhejiang Univ., Sci. Ed. 46, No. 6, 651--655, 665 (2019; Zbl 1449.16015) Full Text: DOI
Chen, Juan; Shuai, Yulin; Xie, Yunli Relative \(d\)-rigid subcategories in \(d\)-cluster category. (Chinese. English summary) Zbl 1449.18005 J. Jilin Univ., Sci. 57, No. 5, 1138-1140 (2019). MSC: 18G80 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Jilin Univ., Sci. 57, No. 5, 1138--1140 (2019; Zbl 1449.18005) Full Text: DOI
Recktenwald, René Construction of six functor formalisms. (English) Zbl 1435.18001 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). i, 128 p. (2019). MSC: 18-02 55-02 55U35 18G80 18D30 14F08 PDF BibTeX XML Cite \textit{R. Recktenwald}, Construction of six functor formalisms. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.) (2019; Zbl 1435.18001) Full Text: DOI Link
Nadareishvili, George Localizing subcategories in the bootstrap category of filtered \(\mathrm{C}^\ast\)-algebras. (English) Zbl 1435.19003 J. Noncommut. Geom. 13, No. 4, 1209-1233 (2019). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 18G80 18G25 47L30 PDF BibTeX XML Cite \textit{G. Nadareishvili}, J. Noncommut. Geom. 13, No. 4, 1209--1233 (2019; Zbl 1435.19003) Full Text: DOI
Marcus, Andrei; Pan, Shengyong Tilting complexes for group graded self-injective algebras. (English) Zbl 1436.18012 Tsukuba J. Math. 43, No. 2, 211-222 (2019). MSC: 18G80 16G10 16S10 18G15 PDF BibTeX XML Cite \textit{A. Marcus} and \textit{S. Pan}, Tsukuba J. Math. 43, No. 2, 211--222 (2019; Zbl 1436.18012) Full Text: DOI Euclid
Efimov, A. I. On the homotopy finiteness of DG categories. (English. Russian original) Zbl 1445.18006 Russ. Math. Surv. 74, No. 3, 431-460 (2019); translation from Usp. Mat. Nauk 74, No. 3, 63-94 (2019). MSC: 18G80 14F08 18G35 14E05 18-02 PDF BibTeX XML Cite \textit{A. I. Efimov}, Russ. Math. Surv. 74, No. 3, 431--460 (2019; Zbl 1445.18006); translation from Usp. Mat. Nauk 74, No. 3, 63--94 (2019) Full Text: DOI
Vologodsky, Vadim Triangulated endofunctors of the derived category of coherent sheaves which do not admit DG liftings. (English) Zbl 1439.18019 Arnold Math. J. 5, No. 2-3, 387-391 (2019). MSC: 18G80 18G35 14F08 PDF BibTeX XML Cite \textit{V. Vologodsky}, Arnold Math. J. 5, No. 2--3, 387--391 (2019; Zbl 1439.18019) Full Text: DOI
Vologodsky, Vadim Triangulated endofunctors of the derived category of coherent sheaves which do not admit DG liftings. (English) Zbl 1439.14143 Arnold Math. J. 5, No. 1, 139-143 (2019). MSC: 14M15 18G80 18G35 14F08 PDF BibTeX XML Cite \textit{V. Vologodsky}, Arnold Math. J. 5, No. 1, 139--143 (2019; Zbl 1439.14143) Full Text: DOI
Benson, Dave; Iyengar, Srikanth B.; Krause, Henning; Pevtsova, Julia Local duality for representations of finite group schemes. Injective modules at closed points. (English) Zbl 07159511 Compos. Math. 155, No. 2, 424-453 (2019). MSC: 16G10 20C20 20G10 20J06 18E30 PDF BibTeX XML Cite \textit{D. Benson} et al., Compos. Math. 155, No. 2, 424--453 (2019; Zbl 07159511) Full Text: DOI arXiv
Li, Ruiting; Yang, Gang; Wang, Xiaoqing Clean exactness and derived categories. (Chinese. English summary) Zbl 1449.13014 Chin. Ann. Math., Ser. A 40, No. 3, 307-324 (2019). MSC: 13D09 18E10 18G80 18G25 18G35 PDF BibTeX XML Cite \textit{R. Li} et al., Chin. Ann. Math., Ser. A 40, No. 3, 307--324 (2019; Zbl 1449.13014) Full Text: DOI
Cao, Tianya; Liu, Zhongkui; Yang, Xiaoyan Buchweitz theorem in pure singularity category. (Chinese. English summary) Zbl 1449.18004 Acta Math. Sin., Chin. Ser. 62, No. 4, 553-560 (2019). MSC: 18G80 18E10 PDF BibTeX XML Cite \textit{T. Cao} et al., Acta Math. Sin., Chin. Ser. 62, No. 4, 553--560 (2019; Zbl 1449.18004)
Ren, Wei Quillen equivalence of singular model categories. (Chinese. English summary) Zbl 1449.18007 Acta Math. Sin., Chin. Ser. 62, No. 3, 521-528 (2019). MSC: 18N40 18G80 18A40 18G35 16E65 PDF BibTeX XML Cite \textit{W. Ren}, Acta Math. Sin., Chin. Ser. 62, No. 3, 521--528 (2019; Zbl 1449.18007) Full Text: arXiv
Schürmann, Jörg; Woolf, Jonathan Witt groups of abelian categories and perverse sheaves. (English) Zbl 1439.32076 Ann. \(K\)-Theory 4, No. 4, 621-670 (2019). MSC: 32S60 18G80 19G99 PDF BibTeX XML Cite \textit{J. Schürmann} and \textit{J. Woolf}, Ann. \(K\)-Theory 4, No. 4, 621--670 (2019; Zbl 1439.32076) Full Text: DOI
Vyas, Rishi Weakly stable torsion classes. (English) Zbl 07144051 Algebr. Represent. Theory 22, No. 5, 1183-1207 (2019). MSC: 16S90 16E35 18E30 18G10 PDF BibTeX XML Cite \textit{R. Vyas}, Algebr. Represent. Theory 22, No. 5, 1183--1207 (2019; Zbl 07144051) Full Text: DOI
Chen, Xiaofa; Chen, Xiao-Wu The lower extension groups and quotient categories. (Groupes d’extension inférieurs et catégories quotient.) (English. French summary) Zbl 1435.18006 C. R., Math., Acad. Sci. Paris 357, No. 11-12, 832-840 (2019). Reviewer: Marek Golasiński (Olsztyn) MSC: 18E10 13D07 16E20 19D55 PDF BibTeX XML Cite \textit{X. Chen} and \textit{X.-W. Chen}, C. R., Math., Acad. Sci. Paris 357, No. 11--12, 832--840 (2019; Zbl 1435.18006) Full Text: DOI arXiv
Cisinski, Denis-Charles; Déglise, Frédéric Triangulated categories of mixed motives. (English) Zbl 07138952 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-33241-9/hbk; 978-3-030-33242-6/ebook). xlii, 406 p. (2019). MSC: 14-02 18-02 14Cxx 18E30 PDF BibTeX XML Cite \textit{D.-C. Cisinski} and \textit{F. Déglise}, Triangulated categories of mixed motives. Cham: Springer (2019; Zbl 07138952) Full Text: DOI
Zheng, Qilian; Wei, Jiaqun \((n+2)\)-angulated quotient categories. (English) Zbl 1427.18006 Algebra Colloq. 26, No. 4, 689-720 (2019). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18E10 18G80 18G05 PDF BibTeX XML Cite \textit{Q. Zheng} and \textit{J. Wei}, Algebra Colloq. 26, No. 4, 689--720 (2019; Zbl 1427.18006) Full Text: DOI