Ferraro, Luigi; Hardesty, Alexis The Tor algebra of trimmings of Gorenstein ideals. (English) Zbl 07796962 Acta Math. Vietnam. 48, No. 4, 567-604 (2023). MSC: 13D02 13D07 13H10 PDFBibTeX XMLCite \textit{L. Ferraro} and \textit{A. Hardesty}, Acta Math. Vietnam. 48, No. 4, 567--604 (2023; Zbl 07796962) Full Text: DOI arXiv
Conca, Aldo (ed.); Cutkosky, Steven Dale (ed.); Faber, Eleonore (ed.); Iyengar, Srikanth B. (ed.) Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5–11, 2023. (English) Zbl 1525.00016 Oberwolfach Rep. 20, No. 1, 327-395 (2023). MSC: 00B05 00B25 14-06 13-06 32-06 14E15 13Hxx 14Bxx 32Sxx PDFBibTeX XMLCite \textit{A. Conca} (ed.) et al., Oberwolfach Rep. 20, No. 1, 327--395 (2023; Zbl 1525.00016) Full Text: DOI
Winther Christensen, Lars; Veliche, Oana Generic local rings on a spectrum between Golod and Gorenstein. (English) Zbl 07737682 Adv. Appl. Math. 151, Article ID 102580, 55 p. (2023). MSC: 13C05 13A02 13D02 13D07 13E10 13P20 PDFBibTeX XMLCite \textit{L. Winther Christensen} and \textit{O. Veliche}, Adv. Appl. Math. 151, Article ID 102580, 55 p. (2023; Zbl 07737682) Full Text: DOI arXiv
Diethorn, Rachel N. A survey on the Koszul homology algebra. (English) Zbl 1496.13018 Miller, Claudia (ed.) et al., Women in commutative algebra. Proceedings of the 2019 WICA workshop, Banff, Alberta, Canada, October 20–25, 2019. Cham: Springer. Assoc. Women Math. Ser. 29, 257-279 (2022). MSC: 13D02 13D03 13H10 13-02 PDFBibTeX XMLCite \textit{R. N. Diethorn}, Assoc. Women Math. Ser. 29, 257--279 (2022; Zbl 1496.13018) Full Text: DOI arXiv
VandeBogert, Keller Structure theory for a class of grade 3 homogeneous ideals defining type 2 compressed rings. (English) Zbl 1492.13010 J. Commut. Algebra 14, No. 1, 115-139 (2022). Reviewer: Hossein Faridian (Clemson) MSC: 13C05 13D02 13D07 PDFBibTeX XMLCite \textit{K. VandeBogert}, J. Commut. Algebra 14, No. 1, 115--139 (2022; Zbl 1492.13010) Full Text: DOI arXiv Link
Dao, Hailong; De Stefani, Alessandro On monomial Golod ideals. (English) Zbl 1484.13035 Acta Math. Vietnam. 47, No. 1, 359-367 (2022). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13D02 05E40 PDFBibTeX XMLCite \textit{H. Dao} and \textit{A. De Stefani}, Acta Math. Vietnam. 47, No. 1, 359--367 (2022; Zbl 1484.13035) Full Text: DOI arXiv
VandeBogert, Keller DG structure on length 3 trimming complexes and applications to Tor algebras. (English) Zbl 1485.13040 J. Pure Appl. Algebra 226, No. 9, Article ID 107053, 26 p. (2022). Reviewer: Hossein Faridian (Clemson) MSC: 13D02 13D07 13C13 PDFBibTeX XMLCite \textit{K. VandeBogert}, J. Pure Appl. Algebra 226, No. 9, Article ID 107053, 26 p. (2022; Zbl 1485.13040) Full Text: DOI arXiv
Kustin, Andrew R. Perfect modules with Betti numbers (2,6,5,1). (English) Zbl 1487.13026 J. Algebra 600, 71-124 (2022). Reviewer: Dipankar Ghosh (Kharagpur) MSC: 13C40 13D02 13H10 13D10 PDFBibTeX XMLCite \textit{A. R. Kustin}, J. Algebra 600, 71--124 (2022; Zbl 1487.13026) Full Text: DOI arXiv
Nasseh, Saeed; Sather-Wagstaff, Keri Applications of differential graded algebra techniques in commutative algebra. (English) Zbl 1498.13037 Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 589-616 (2021). MSC: 13D02 13D07 13B10 13D03 13D05 13D40 13N10 13-02 PDFBibTeX XMLCite \textit{S. Nasseh} and \textit{K. Sather-Wagstaff}, in: Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 589--616 (2021; Zbl 1498.13037) Full Text: DOI arXiv
Christensen, Lars Winther; Veliche, Oana; Weyman, Jerzy Three takes on almost complete intersection ideals of grade 3. (English) Zbl 1498.13019 Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 219-281 (2021). MSC: 13C05 13C40 13H10 14N15 PDFBibTeX XMLCite \textit{L. W. Christensen} et al., in: Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 219--281 (2021; Zbl 1498.13019) Full Text: DOI arXiv
VandeBogert, Keller Resolution and Tor algebra structures of grade 3 ideals defining compressed rings. (English) Zbl 1476.13022 J. Algebra 586, 140-153 (2021). Reviewer: Dipankar Ghosh (Hyderabad) MSC: 13D07 13D02 PDFBibTeX XMLCite \textit{K. VandeBogert}, J. Algebra 586, 140--153 (2021; Zbl 1476.13022) Full Text: DOI arXiv
Dao, Hailong; Kobayashi, Toshinori; Takahashi, Ryo Trace ideals of canonical modules, annihilators of Ext modules, and classes of rings close to being Gorenstein. (English) Zbl 1471.13034 J. Pure Appl. Algebra 225, No. 9, Article ID 106655, 18 p. (2021). Reviewer: Hossein Faridian (Clemson) MSC: 13D07 13H10 PDFBibTeX XMLCite \textit{H. Dao} et al., J. Pure Appl. Algebra 225, No. 9, Article ID 106655, 18 p. (2021; Zbl 1471.13034) Full Text: DOI arXiv
Celikbas, Ela; Laxmi, Jai; Kraśkiewicz, Witold; Weyman, Jerzy The family of perfect ideals of codimension 3, of type 2 with 5 generators. (English) Zbl 1459.13012 Proc. Am. Math. Soc. 148, No. 7, 2745-2755 (2020). Reviewer: Maral Mostafazadehfard (Rio de Janeiro) MSC: 13C40 13D02 13H10 15A75 PDFBibTeX XMLCite \textit{E. Celikbas} et al., Proc. Am. Math. Soc. 148, No. 7, 2745--2755 (2020; Zbl 1459.13012) Full Text: DOI arXiv
Winther Christensen, Lars; Veliche, Oana; Weyman, Jerzy Linkage classes of grade 3 perfect ideals. (English) Zbl 1440.13056 J. Pure Appl. Algebra 224, No. 6, Article ID 106185, 29 p. (2020). Reviewer: Andrew Kustin (Columbia) MSC: 13C40 13D02 13H10 PDFBibTeX XMLCite \textit{L. Winther Christensen} et al., J. Pure Appl. Algebra 224, No. 6, Article ID 106185, 29 p. (2020; Zbl 1440.13056) Full Text: DOI arXiv
Winther Christensen, Lars; Veliche, Oana; Weyman, Jerzy Trimming a Gorenstein ideal. (English) Zbl 1441.13059 J. Commut. Algebra 11, No. 3, 325-339 (2019). MSC: 13H10 PDFBibTeX XMLCite \textit{L. Winther Christensen} et al., J. Commut. Algebra 11, No. 3, 325--339 (2019; Zbl 1441.13059) Full Text: DOI arXiv Euclid
Weyman, Jerzy Generic free resolutions and root systems. (Résolutions libres génériques et systèmes de racines.) (English. French summary) Zbl 1498.13042 Ann. Inst. Fourier 68, No. 3, 1241-1296 (2018). MSC: 13D02 17B22 17B67 14M05 14M07 14M17 14M27 PDFBibTeX XMLCite \textit{J. Weyman}, Ann. Inst. Fourier 68, No. 3, 1241--1296 (2018; Zbl 1498.13042) Full Text: DOI arXiv
Christensen, Lars Winther; Veliche, Oana The Golod property of powers of the maximal ideal of a local ring. (English) Zbl 1393.13043 Arch. Math. 110, No. 6, 549-562 (2018). Reviewer: Andrew Kustin (Columbia) MSC: 13H10 13D02 PDFBibTeX XMLCite \textit{L. W. Christensen} and \textit{O. Veliche}, Arch. Math. 110, No. 6, 549--562 (2018; Zbl 1393.13043) Full Text: DOI arXiv
Painter, Jared L. Planar graphs and the Koszul algebra structure for trivariate monomial ideals. (English) Zbl 1315.13027 Cooper, Susan M. (ed.) et al., Connections between algebra, combinatorics, and geometry. Selected papers based on the presentations at the workshop, Regina, Canada, May 29 – June 1, 2012, the special session on interactions between algebraic geometry and commutative algebra, Regina, Canada, June 2–3, 2012 and the conference on further connections between algebra and geometry, Fargo, ND, USA, February 2–3, 2013. New York, NY: Springer (ISBN 978-1-4939-0625-3/hbk; 978-1-4939-0626-0/ebook). Springer Proceedings in Mathematics & Statistics 76, 277-297 (2014). MSC: 13D02 13F55 05C99 PDFBibTeX XMLCite \textit{J. L. Painter}, Springer Proc. Math. Stat. 76, 277--297 (2014; Zbl 1315.13027) Full Text: DOI arXiv
Kustin, Andrew R.; Vraciu, Adela The weak Lefschetz property for monomial complete intersection in positive characteristic. (English) Zbl 1314.13028 Trans. Am. Math. Soc. 366, No. 9, 4571-4601 (2014). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D02 13A35 13E10 13C40 PDFBibTeX XMLCite \textit{A. R. Kustin} and \textit{A. Vraciu}, Trans. Am. Math. Soc. 366, No. 9, 4571--4601 (2014; Zbl 1314.13028) Full Text: DOI arXiv
Christensen, Lars Winther; Veliche, Oana Local rings of embedding codepth 3. Examples. (English) Zbl 1295.13019 Algebr. Represent. Theory 17, No. 1, 121-135 (2014). Reviewer: Ramakrishna Nanduri (Genova) MSC: 13D02 13C99 13H10 PDFBibTeX XMLCite \textit{L. W. Christensen} and \textit{O. Veliche}, Algebr. Represent. Theory 17, No. 1, 121--135 (2014; Zbl 1295.13019) Full Text: DOI arXiv
Kustin, Andrew R.; Rahmati, Hamidreza; Vraciu, Adela The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring. (English) Zbl 1275.13003 J. Algebra 369, 256-321 (2012). Reviewer: Alessandro De Stefani (Charlottesville) MSC: 13A35 13D02 13H10 13C40 13E10 13D40 PDFBibTeX XMLCite \textit{A. R. Kustin} et al., J. Algebra 369, 256--321 (2012; Zbl 1275.13003) Full Text: DOI arXiv
Avramov, Luchezar L. A cohomological study of local rings of embedding codepth 3. (English) Zbl 1259.13010 J. Pure Appl. Algebra 216, No. 11, 2489-2506 (2012). Reviewer: Javier Majadas (Santiago de Compostela) MSC: 13D07 13D40 PDFBibTeX XMLCite \textit{L. L. Avramov}, J. Pure Appl. Algebra 216, No. 11, 2489--2506 (2012; Zbl 1259.13010) Full Text: DOI arXiv
Fröberg, R.; Micale, V. The Poincaré series of the module of derivations of affine monomial curves. (English) Zbl 1082.13010 J. Algebra 280, No. 1, 120-131 (2004). Reviewer: Elena Guardo (Catania) MSC: 13D40 13N15 13D02 13P10 PDFBibTeX XMLCite \textit{R. Fröberg} and \textit{V. Micale}, J. Algebra 280, No. 1, 120--131 (2004; Zbl 1082.13010) Full Text: DOI
Kustin, Andrew R. Classification of the Tor-algebras of codimension four almost complete intersections. (English) Zbl 0788.13006 Trans. Am. Math. Soc. 339, No. 1, 61-85 (1993). Reviewer: L.Bican (Praha) MSC: 13D03 13C40 18G15 14M07 PDFBibTeX XMLCite \textit{A. R. Kustin}, Trans. Am. Math. Soc. 339, No. 1, 61--85 (1993; Zbl 0788.13006) Full Text: DOI