Chirvasitu, Alexandru; Smith, S. Paul Some algebras having relations like those for the 4-dimensional Sklyanin algebras. (English) Zbl 07768261 J. Korean Math. Soc. 60, No. 4, 745-777 (2023). MSC: 16S38 14A22 14H52 16E65 16W50 17B37 PDFBibTeX XMLCite \textit{A. Chirvasitu} and \textit{S. P. Smith}, J. Korean Math. Soc. 60, No. 4, 745--777 (2023; Zbl 07768261) Full Text: DOI arXiv
Chen, Hui-Xiang; Wang, Ding-Guo; Zhang, James J. Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras. (English) Zbl 07707056 Algebr. Represent. Theory 26, No. 3, 717-752 (2023). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 16W22 PDFBibTeX XMLCite \textit{H.-X. Chen} et al., Algebr. Represent. Theory 26, No. 3, 717--752 (2023; Zbl 07707056) Full Text: DOI arXiv
Chirvasitu, Alex; Kanda, Ryo Flat families of point schemes for connected graded algebras. (English) Zbl 1527.14007 Mich. Math. J. 73, No. 1, 195-208 (2023). MSC: 14A22 16S38 16W50 PDFBibTeX XMLCite \textit{A. Chirvasitu} and \textit{R. Kanda}, Mich. Math. J. 73, No. 1, 195--208 (2023; Zbl 1527.14007) Full Text: DOI arXiv
Gaddis, Jason; Veerapen, Padmini; Wang, Xingting Reflection groups and rigidity of quadratic Poisson algebras. (English) Zbl 07679238 Algebr. Represent. Theory 26, No. 2, 329-358 (2023). MSC: 16W10 17B63 16W25 14R10 PDFBibTeX XMLCite \textit{J. Gaddis} et al., Algebr. Represent. Theory 26, No. 2, 329--358 (2023; Zbl 07679238) Full Text: DOI arXiv
Lu, Rui; Tan, Youjun Construction of color Lie algebras from homomorphisms of modules of Lie algebras. (English) Zbl 1523.17061 J. Algebra 620, 1-49 (2023). MSC: 17B75 17B10 PDFBibTeX XMLCite \textit{R. Lu} and \textit{Y. Tan}, J. Algebra 620, 1--49 (2023; Zbl 1523.17061) Full Text: DOI
Li, Jun Artin-Schelter regular algebras of dimension five with three generators. (English) Zbl 1516.16003 J. Algebra Appl. 21, No. 12, Article ID 2250235, 16 p. (2022). Reviewer: Udhayakumar Ramalingam (Vellore) MSC: 16E05 16W50 PDFBibTeX XMLCite \textit{J. Li}, J. Algebra Appl. 21, No. 12, Article ID 2250235, 16 p. (2022; Zbl 1516.16003) Full Text: DOI
Cain, Jessica G.; Frauendienst, Leah R.; Veerapen, Padmini A notion of rank for noncommutative quadratic forms on four generators. (English) Zbl 1517.16025 J. Algebra Appl. 21, No. 10, Article ID 2250196, 17 p. (2022). MSC: 16S36 15A63 15A03 PDFBibTeX XMLCite \textit{J. G. Cain} et al., J. Algebra Appl. 21, No. 10, Article ID 2250196, 17 p. (2022; Zbl 1517.16025) Full Text: DOI arXiv
Suárez, Héctor; Chacón, Andrés; Reyes, Armando On NI and NJ skew PBW extensions. (English) Zbl 1497.16019 Commun. Algebra 50, No. 8, 3261-3275 (2022). Reviewer: Puguh Wahyu Prasetyo (Yogyakarta) MSC: 16N20 16N40 16S36 16S37 16S38 PDFBibTeX XMLCite \textit{H. Suárez} et al., Commun. Algebra 50, No. 8, 3261--3275 (2022; Zbl 1497.16019) Full Text: DOI arXiv
Vancliff, Michaela Generalizing classical Clifford algebras, graded Clifford algebras and their associated geometry. (English) Zbl 1472.15032 Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 43, 12 p. (2021). MSC: 15A66 16W55 16W50 14A22 PDFBibTeX XMLCite \textit{M. Vancliff}, Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 43, 12 p. (2021; Zbl 1472.15032) Full Text: DOI
Chandler, Richard G.; Engel, Nicholas Isomorphisms of graded skew Clifford algebras. (English) Zbl 1470.16052 Involve 13, No. 5, 871-878 (2020). MSC: 16S37 16S38 PDFBibTeX XMLCite \textit{R. G. Chandler} and \textit{N. Engel}, Involve 13, No. 5, 871--878 (2020; Zbl 1470.16052) Full Text: DOI
Chandler, R. G.; Vancliff, M. The quantum spaces of certain graded algebras related to \(\mathfrak{sl}(2, \Bbbk)\). (English) Zbl 1442.17016 Algebr. Represent. Theory 23, No. 4, 1781-1796 (2020). MSC: 17B37 14A22 16S37 17B35 17B75 PDFBibTeX XMLCite \textit{R. G. Chandler} and \textit{M. Vancliff}, Algebr. Represent. Theory 23, No. 4, 1781--1796 (2020; Zbl 1442.17016) Full Text: DOI
Lezama, José Oswaldo Computation of point modules of finitely semi-graded rings. (English) Zbl 1436.16030 Commun. Algebra 48, No. 2, 866-878 (2020). MSC: 16S38 16W50 16S80 16S36 PDFBibTeX XMLCite \textit{J. O. Lezama}, Commun. Algebra 48, No. 2, 866--878 (2020; Zbl 1436.16030) Full Text: DOI arXiv
Chirvasitu, Alex; Smith, S. Paul; Vancliff, Michaela A geometric invariant of \(6\)-dimensional subspaces of \(4\times 4\) matrices. (English) Zbl 1475.14005 Proc. Am. Math. Soc. 148, No. 3, 915-928 (2020). MSC: 14A22 14M15 15A72 16S38 PDFBibTeX XMLCite \textit{A. Chirvasitu} et al., Proc. Am. Math. Soc. 148, No. 3, 915--928 (2020; Zbl 1475.14005) Full Text: DOI arXiv
Walton, Chelsea; Zhang, James J. On the quadratic dual of the Fomin-Kirillov algebras. (English) Zbl 1471.16051 Trans. Am. Math. Soc. 372, No. 6, 3921-3945 (2019). MSC: 16W50 16P40 16P90 16E65 PDFBibTeX XMLCite \textit{C. Walton} and \textit{J. J. Zhang}, Trans. Am. Math. Soc. 372, No. 6, 3921--3945 (2019; Zbl 1471.16051) Full Text: DOI arXiv
Hu, Xianguo; Lü, Jiafeng; Wang, Xingting PBW-basis for universal enveloping algebras of differential graded Poisson algebras. (English) Zbl 1448.16029 Bull. Malays. Math. Sci. Soc. (2) 42, No. 6, 3343-3377 (2019). MSC: 16S30 16E45 16S10 17B35 17B63 PDFBibTeX XMLCite \textit{X. Hu} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 6, 3343--3377 (2019; Zbl 1448.16029) Full Text: DOI arXiv
Cassidy, Thomas; Vancliff, Michaela Skew Clifford algebras. (English) Zbl 1505.16035 J. Pure Appl. Algebra 223, No. 12, 5091-5105 (2019). MSC: 16S10 16S20 16W55 15A66 PDFBibTeX XMLCite \textit{T. Cassidy} and \textit{M. Vancliff}, J. Pure Appl. Algebra 223, No. 12, 5091--5105 (2019; Zbl 1505.16035) Full Text: DOI arXiv
Li, Jun The quadratic algebras in Artin-Schelter regular algebras of dimension five. (English) Zbl 1468.16039 Commun. Algebra 47, No. 2, 772-781 (2019). MSC: 16S37 16E40 16W50 PDFBibTeX XMLCite \textit{J. Li}, Commun. Algebra 47, No. 2, 772--781 (2019; Zbl 1468.16039) Full Text: DOI
Chirvasitu, Alex; Smith, S. Paul Exotic elliptic algebras. (English) Zbl 1445.16010 Trans. Am. Math. Soc. 371, No. 1, 279-333 (2019). MSC: 16E65 16S38 16T05 16W50 14A22 PDFBibTeX XMLCite \textit{A. Chirvasitu} and \textit{S. P. Smith}, Trans. Am. Math. Soc. 371, No. 1, 279--333 (2019; Zbl 1445.16010) Full Text: DOI arXiv
Zhu, Can; Wang, Yaxiu Realization of Poisson enveloping algebra. (English) Zbl 1459.17038 Front. Math. China 13, No. 4, 999-1011 (2018). MSC: 17B63 16E65 16S80 PDFBibTeX XMLCite \textit{C. Zhu} and \textit{Y. Wang}, Front. Math. China 13, No. 4, 999--1011 (2018; Zbl 1459.17038) Full Text: DOI
Fish, Christopher D.; Jordan, David A. Connected quantized Weyl algebras and quantum cluster algebras. (English) Zbl 1417.16030 J. Pure Appl. Algebra 222, No. 8, 2374-2412 (2018). MSC: 16S36 13F60 16D30 16N60 16W20 17B63 PDFBibTeX XMLCite \textit{C. D. Fish} and \textit{D. A. Jordan}, J. Pure Appl. Algebra 222, No. 8, 2374--2412 (2018; Zbl 1417.16030) Full Text: DOI arXiv Link
Tomlin, Derek; Vancliff, Michaela The one-dimensional line scheme of a family of quadratic quantum \(\mathbb{P}^3\)s. (English) Zbl 1398.14006 J. Algebra 502, 588-609 (2018). Reviewer: William Casper (Baton Rouge) MSC: 14A22 16S37 16S38 PDFBibTeX XMLCite \textit{D. Tomlin} and \textit{M. Vancliff}, J. Algebra 502, 588--609 (2018; Zbl 1398.14006) Full Text: DOI arXiv
Chirvasitu, Alex; Smith, S. Paul; Wong, Liang Ze Noncommutative geometry of homogenized quantum \(\mathfrak{sl}(2, \mathbb{C})\). (English) Zbl 1386.14014 Pac. J. Math. 292, No. 2, 305-354 (2018). Reviewer: Kevin De Laet (Antwerpen) MSC: 14A22 16S38 16W50 17B37 PDFBibTeX XMLCite \textit{A. Chirvasitu} et al., Pac. J. Math. 292, No. 2, 305--354 (2018; Zbl 1386.14014) Full Text: DOI arXiv
Veerapen, Padmini Graded Clifford algebras and graded skew Clifford algebras and their role in the classification of Artin-Schelter regular algebras. (English) Zbl 1380.16042 Adv. Appl. Clifford Algebr. 27, No. 3, 2855-2871 (2017). MSC: 16W50 14A22 15A66 16-02 PDFBibTeX XMLCite \textit{P. Veerapen}, Adv. Appl. Clifford Algebr. 27, No. 3, 2855--2871 (2017; Zbl 1380.16042) Full Text: DOI arXiv
Skryabin, Serge The isolated quantum group of the \(\mathrm{GL}_2\) family. (English) Zbl 1406.16037 J. Algebra 490, 158-203 (2017). MSC: 16T20 PDFBibTeX XMLCite \textit{S. Skryabin}, J. Algebra 490, 158--203 (2017; Zbl 1406.16037) Full Text: DOI
Lü, J.-F.; Mao, X.-F.; Zhang, J. J. The Nakayama automorphism of a class of graded algebras. (English) Zbl 1376.16038 Isr. J. Math. 219, No. 2, 707-725 (2017). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16W50 16E65 16S37 16S50 PDFBibTeX XMLCite \textit{J. F. Lü} et al., Isr. J. Math. 219, No. 2, 707--725 (2017; Zbl 1376.16038) Full Text: DOI arXiv
Launois, Stéphane; Lecoutre, César Poisson deleting derivations algorithm and Poisson spectrum. (English) Zbl 1419.16020 Commun. Algebra 45, No. 3, 1294-1313 (2017). MSC: 16S36 16D60 17B63 20G42 PDFBibTeX XMLCite \textit{S. Launois} and \textit{C. Lecoutre}, Commun. Algebra 45, No. 3, 1294--1313 (2017; Zbl 1419.16020) Full Text: DOI arXiv Link
Chirvasitu, Alex; Smith, S. Paul Exotic elliptic algebras of dimension 4. With an appendix by Derek Tomlin. (English) Zbl 1427.16018 Adv. Math. 309, 558-623 (2017). MSC: 16S38 14A22 14H52 PDFBibTeX XMLCite \textit{A. Chirvasitu} and \textit{S. P. Smith}, Adv. Math. 309, 558--623 (2017; Zbl 1427.16018) Full Text: DOI arXiv
Belmans, Pieter; De Laet, Kevin; Le Bruyn, Lieven The point variety of quantum polynomial rings. (English) Zbl 1378.16035 J. Algebra 463, 10-22 (2016). MSC: 16S38 14A22 PDFBibTeX XMLCite \textit{P. Belmans} et al., J. Algebra 463, 10--22 (2016; Zbl 1378.16035) Full Text: DOI arXiv
Davies, Andrew Cocycle twists of 4-dimensional Sklyanin algebras. (English) Zbl 1359.16022 J. Algebra 457, 323-360 (2016). Reviewer: Kevin De Laet (Antwerpen) MSC: 16S35 14A22 16S38 16W22 PDFBibTeX XMLCite \textit{A. Davies}, J. Algebra 457, 323--360 (2016; Zbl 1359.16022) Full Text: DOI arXiv
Launois, Stéphane; Lecoutre, César A quadratic Poisson Gel’fand-Kirillov problem in prime characteristic. (English) Zbl 1360.17027 Trans. Am. Math. Soc. 368, No. 2, 755-785 (2016). MSC: 17B63 16S36 20G42 PDFBibTeX XMLCite \textit{S. Launois} and \textit{C. Lecoutre}, Trans. Am. Math. Soc. 368, No. 2, 755--785 (2016; Zbl 1360.17027) Full Text: DOI arXiv Link
Chen, Zhiqi; Kang, Yifang Generalized Clifford theory for graded spaces. (English) Zbl 1327.15051 J. Pure Appl. Algebra 220, No. 2, 647-665 (2016). MSC: 15A66 15A63 15A75 17B75 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{Y. Kang}, J. Pure Appl. Algebra 220, No. 2, 647--665 (2016; Zbl 1327.15051) Full Text: DOI
De Laet, Kevin Graded Clifford algebras of prime global dimension with an action of \(H_p\). (English) Zbl 1342.16025 Commun. Algebra 43, No. 10, 4258-4282 (2015). MSC: 16S38 16S37 16S36 15A66 14A22 16W50 PDFBibTeX XMLCite \textit{K. De Laet}, Commun. Algebra 43, No. 10, 4258--4282 (2015; Zbl 1342.16025) Full Text: DOI arXiv
Chandler, Richard G.; Vancliff, Michaela The one-dimensional line scheme of a certain family of quantum \(\mathbb{P}^3\mathrm{s}\). (English) Zbl 1348.14005 J. Algebra 439, 316-333 (2015). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 16S37 16S38 PDFBibTeX XMLCite \textit{R. G. Chandler} and \textit{M. Vancliff}, J. Algebra 439, 316--333 (2015; Zbl 1348.14005) Full Text: DOI arXiv
Ueyama, Kenta Noncommutative graded algebras of finite Cohen-Macaulay representation type. (English) Zbl 1394.16008 Proc. Am. Math. Soc. 143, No. 9, 3703-3715 (2015). MSC: 16E65 16G50 16S38 14A22 PDFBibTeX XMLCite \textit{K. Ueyama}, Proc. Am. Math. Soc. 143, No. 9, 3703--3715 (2015; Zbl 1394.16008) Full Text: DOI Link
Gaddis, Jason Two-generated algebras and standard-form congruence. (English) Zbl 1320.15008 Commun. Algebra 43, No. 4, 1668-1686 (2015). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A21 16S36 16S37 PDFBibTeX XMLCite \textit{J. Gaddis}, Commun. Algebra 43, No. 4, 1668--1686 (2015; Zbl 1320.15008) Full Text: DOI arXiv
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J. Noncommutative complete intersections. (English) Zbl 1360.16012 J. Algebra 429, 253-286 (2015). MSC: 16E65 16W50 16S38 PDFBibTeX XMLCite \textit{E. Kirkman} et al., J. Algebra 429, 253--286 (2015; Zbl 1360.16012) Full Text: DOI arXiv
Mori, Izuru Regular modules over 2-dimensional quantum Beilinson algebras of type \(S\). (English) Zbl 1432.16015 Math. Z. 279, No. 3-4, 1143-1174 (2015). MSC: 16G60 16S38 16S36 16W50 14A22 PDFBibTeX XMLCite \textit{I. Mori}, Math. Z. 279, No. 3--4, 1143--1174 (2015; Zbl 1432.16015) Full Text: DOI
Nafari, Manizheh; Vancliff, Michaela Graded skew Clifford algebras that are twists of graded Clifford algebras. (English) Zbl 1314.16015 Commun. Algebra 43, No. 2, 719-725 (2015). MSC: 16S38 16S37 16S36 15A66 14A22 16W50 PDFBibTeX XMLCite \textit{M. Nafari} and \textit{M. Vancliff}, Commun. Algebra 43, No. 2, 719--725 (2015; Zbl 1314.16015) Full Text: DOI arXiv
Vancliff, Michaela On the notion of complete intersection outside the setting of skew polynomial rings. (English) Zbl 1315.16023 Commun. Algebra 43, No. 2, 460-470 (2015). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16S38 16S36 16E65 14M10 15A66 14A22 17B35 16W50 PDFBibTeX XMLCite \textit{M. Vancliff}, Commun. Algebra 43, No. 2, 460--470 (2015; Zbl 1315.16023) Full Text: DOI arXiv
Cassidy, Thomas; Vancliff, Michaela Corrigendum: “Generalizations of graded Clifford algebras and of complete intersections”. (English) Zbl 1303.16029 J. Lond. Math. Soc., II. Ser. 90, No. 2, 631-636 (2014). MSC: 16S38 16S37 16S36 15A66 14A22 16W50 PDFBibTeX XMLCite \textit{T. Cassidy} and \textit{M. Vancliff}, J. Lond. Math. Soc., II. Ser. 90, No. 2, 631--636 (2014; Zbl 1303.16029) Full Text: DOI
Vancliff, Michaela; Veerapen, Padmini P. Point modules over regular graded skew Clifford algebras. (English) Zbl 1332.16021 J. Algebra 420, 54-64 (2014). MSC: 16S38 14A22 15A63 15A66 11E99 16S36 PDFBibTeX XMLCite \textit{M. Vancliff} and \textit{P. P. Veerapen}, J. Algebra 420, 54--64 (2014; Zbl 1332.16021) Full Text: DOI arXiv
Smith, S. Paul; Van den Bergh, Michel Noncommutative quadric surfaces. (English) Zbl 1290.14003 J. Noncommut. Geom. 7, No. 3, 817-856 (2013). Reviewer: Sergey Ludkovsky (Moskva) MSC: 14A22 14C21 14C22 PDFBibTeX XMLCite \textit{S. P. Smith} and \textit{M. Van den Bergh}, J. Noncommut. Geom. 7, No. 3, 817--856 (2013; Zbl 1290.14003) Full Text: DOI arXiv
Mori, Izuru; Ueyama, Kenta Graded Morita equivalences for geometric AS-regular algebras. (English) Zbl 1280.16044 Glasg. Math. J. 55, No. 2, 241-257 (2013). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 16W50 16D90 16S37 16S38 16E65 PDFBibTeX XMLCite \textit{I. Mori} and \textit{K. Ueyama}, Glasg. Math. J. 55, No. 2, 241--257 (2013; Zbl 1280.16044) Full Text: DOI arXiv
Wang, S.-Q.; Wu, Q.-S. A class of AS-regular algebras of dimension five. (English) Zbl 1271.16014 J. Algebra 362, 117-144 (2012). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16E65 16W50 16S38 16S15 PDFBibTeX XMLCite \textit{S. Q. Wang} and \textit{Q. S. Wu}, J. Algebra 362, 117--144 (2012; Zbl 1271.16014) Full Text: DOI
Nafari, Manizheh; Vancliff, Michaela; Zhang, Jun Classifying quadratic quantum \(\mathbb P^2\)s by using graded skew Clifford algebras. (English) Zbl 1254.16019 J. Algebra 346, No. 1, 152-164 (2011). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S38 16S37 15A66 14A22 16S36 16W50 PDFBibTeX XMLCite \textit{M. Nafari} et al., J. Algebra 346, No. 1, 152--164 (2011; Zbl 1254.16019) Full Text: DOI arXiv
Goodearl, K. R.; Launois, S. The Dixmier-Moeglin equivalence and a Gel’fand-Kirillov problem for Poisson polynomial algebras. (L’équivalence de Dixmier-Moeglin et un analogue du problème de Gel’fand-Kirillov pour certaines algèbres de Poisson polynômiales.) (English. French summary) Zbl 1226.17016 Bull. Soc. Math. Fr. 139, No. 1, 1-39 (2011). Reviewer: Vesselin Drensky (Sofia) MSC: 17B63 PDFBibTeX XMLCite \textit{K. R. Goodearl} and \textit{S. Launois}, Bull. Soc. Math. Fr. 139, No. 1, 1--39 (2011; Zbl 1226.17016) Full Text: DOI arXiv Link
Zhang, James J.; Zhang, Jun Double extension regular algebras of type (14641). (English) Zbl 1181.16026 J. Algebra 322, No. 2, 373-409 (2009). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S38 16W50 16S36 16E65 16E10 PDFBibTeX XMLCite \textit{J. J. Zhang} and \textit{J. Zhang}, J. Algebra 322, No. 2, 373--409 (2009; Zbl 1181.16026) Full Text: DOI arXiv
Mori, Izuru Co-point modules over Frobenius Koszul algebras. (English) Zbl 1207.16032 Commun. Algebra 36, No. 12, 4659-4677 (2008). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S37 16S38 16E65 16E05 16W50 PDFBibTeX XMLCite \textit{I. Mori}, Commun. Algebra 36, No. 12, 4659--4677 (2008; Zbl 1207.16032) Full Text: DOI
Zhang, James J.; Zhang, Jun Double Ore extensions. (English) Zbl 1157.16009 J. Pure Appl. Algebra 212, No. 12, 2668-2690 (2008). Reviewer: George Szeto (Peoria) MSC: 16S36 16W50 16E65 16E10 PDFBibTeX XMLCite \textit{J. J. Zhang} and \textit{J. Zhang}, J. Pure Appl. Algebra 212, No. 12, 2668--2690 (2008; Zbl 1157.16009) Full Text: DOI arXiv
Oh, Sei-Qwon Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces. (English) Zbl 1142.17011 J. Algebra 319, No. 11, 4485-4535 (2008). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B37 53D17 PDFBibTeX XMLCite \textit{S.-Q. Oh}, J. Algebra 319, No. 11, 4485--4535 (2008; Zbl 1142.17011) Full Text: DOI arXiv
Rogalski, D.; Zhang, J. J. Canonical maps to twisted rings. (English) Zbl 1170.16021 Math. Z. 259, No. 2, 433-455 (2008). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S38 14A22 16W50 16P90 PDFBibTeX XMLCite \textit{D. Rogalski} and \textit{J. J. Zhang}, Math. Z. 259, No. 2, 433--455 (2008; Zbl 1170.16021) Full Text: DOI arXiv
Goetz, Pete Fat point modules over generalized Laurent polynomial rings. (English) Zbl 1122.16021 J. Algebra 313, No. 2, 657-671 (2007). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S37 16W50 16D90 PDFBibTeX XMLCite \textit{P. Goetz}, J. Algebra 313, No. 2, 657--671 (2007; Zbl 1122.16021) Full Text: DOI
Stephenson, Darin R.; Vancliff, Michaela Constructing Clifford quantum \(\mathbb P^3\)’s with finitely many points. (English) Zbl 1130.15020 J. Algebra 312, No. 1, 86-110 (2007). Reviewer: Jayme Vaz (Campinas) MSC: 15A66 16S37 11E88 16W50 16W35 PDFBibTeX XMLCite \textit{D. R. Stephenson} and \textit{M. Vancliff}, J. Algebra 312, No. 1, 86--110 (2007; Zbl 1130.15020) Full Text: DOI
Lu, D.-M.; Palmieri, J. H.; Zhang, J. J. Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras. (English) Zbl 1193.16014 Duke Math. J. 137, No. 3, 537-584 (2007). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16E65 16W50 16S15 16T20 14A22 16E10 PDFBibTeX XMLCite \textit{D. M. Lu} et al., Duke Math. J. 137, No. 3, 537--584 (2007; Zbl 1193.16014) Full Text: DOI
Brandl, M. Katherine Primitive and Poisson spectra of single-eigenvalue twists of polynomial algebras. (English) Zbl 1111.16028 Algebr. Represent. Theory 9, No. 3, 241-258 (2006). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S80 16S36 16D60 16W50 16D25 16W25 14A22 PDFBibTeX XMLCite \textit{M. K. Brandl}, Algebr. Represent. Theory 9, No. 3, 241--258 (2006; Zbl 1111.16028) Full Text: DOI
Cassidy, Thomas; Goetz, Peter; Shelton, Brad Generalized Laurent polynomial rings as quantum projective 3-spaces. (English) Zbl 1104.16023 J. Algebra 303, No. 1, 358-372 (2006). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S38 16W35 16S37 16S15 16S34 PDFBibTeX XMLCite \textit{T. Cassidy} et al., J. Algebra 303, No. 1, 358--372 (2006; Zbl 1104.16023) Full Text: DOI
Stephenson, Darin R.; Vancliff, Michaela Some finite quantum \(\mathbb{P}^3\)s that are infinite modules over their centers. (English) Zbl 1101.16021 J. Algebra 297, No. 1, 208-215 (2006). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S38 16S37 14A22 16W50 PDFBibTeX XMLCite \textit{D. R. Stephenson} and \textit{M. Vancliff}, J. Algebra 297, No. 1, 208--215 (2006; Zbl 1101.16021) Full Text: DOI
Oh, Sei-Qwon Poisson polynomial rings. (English) Zbl 1135.17012 Commun. Algebra 34, No. 4, 1265-1277 (2006). Reviewer: Béchir Dali (Bizerte) MSC: 17B63 16W25 PDFBibTeX XMLCite \textit{S.-Q. Oh}, Commun. Algebra 34, No. 4, 1265--1277 (2006; Zbl 1135.17012) Full Text: DOI
Goetz, Pete; Shelton, Brad Representation theory of two families of quantum projective 3-spaces. (English) Zbl 1108.16025 J. Algebra 295, No. 1, 141-156 (2006). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S38 16G30 16W35 16S36 PDFBibTeX XMLCite \textit{P. Goetz} and \textit{B. Shelton}, J. Algebra 295, No. 1, 141--156 (2006; Zbl 1108.16025) Full Text: DOI
Dietz, Geoffrey D.; Higginbottom, Ryan S.; Stephenson, D. R. Quantum projective 3-spaces which embed weighted quantum planes. (English) Zbl 1079.16032 Rocky Mt. J. Math. 35, No. 2, 415-444 (2005). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16W35 16E65 16S38 16S15 PDFBibTeX XMLCite \textit{G. D. Dietz} et al., Rocky Mt. J. Math. 35, No. 2, 415--444 (2005; Zbl 1079.16032) Full Text: DOI
Cassidy, Thomas Central extensions of Stephenson’s algebras. (English) Zbl 1061.16045 Commun. Algebra 31, No. 4, 1615-1632 (2003). MSC: 16W50 16S38 16P40 16E65 16W70 14A22 PDFBibTeX XMLCite \textit{T. Cassidy}, Commun. Algebra 31, No. 4, 1615--1632 (2003; Zbl 1061.16045) Full Text: DOI
Ohn, Christian “Classical” flag varieties for quantum groups: the standard quantum \(\text{SL}(n,{\mathbb C})\). (English) Zbl 1040.17013 Adv. Math. 171, No. 1, 103-138 (2002). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 17B37 14A22 16S38 PDFBibTeX XMLCite \textit{C. Ohn}, Adv. Math. 171, No. 1, 103--138 (2002; Zbl 1040.17013) Full Text: DOI arXiv
Oh, Sei-Qwon; Park, Chun-Gil; Shin, Yong-Yeon A Poincaré-Birkhoff-Witt theorem for Poisson enveloping algebras. (English) Zbl 1023.17014 Commun. Algebra 30, No. 10, 4767-4887 (2002). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 17B63 17A30 17B35 16S30 16D80 17B37 16W35 PDFBibTeX XMLCite \textit{S.-Q. Oh} et al., Commun. Algebra 30, No. 10, 4767--4887 (2002; Zbl 1023.17014) Full Text: DOI
Oh, Sei-Qwon; Park, Chun-Gil; Shin, Yong-Yeon Quantum \(n\)-space and Poisson \(n\)-space. (English) Zbl 1016.16035 Commun. Algebra 30, No. 9, 4197-4209 (2002). Reviewer: F.J.Lobillo (Granada) MSC: 16W35 17B63 16P90 16D25 PDFBibTeX XMLCite \textit{S.-Q. Oh} et al., Commun. Algebra 30, No. 9, 4197--4209 (2002; Zbl 1016.16035) Full Text: DOI
Shelton, Brad; Vancliff, Michaela Schemes of line modules. II. (English) Zbl 1056.14002 Commun. Algebra 30, No. 5, 2535-2552 (2002). MSC: 14A22 16S38 16W35 PDFBibTeX XMLCite \textit{B. Shelton} and \textit{M. Vancliff}, Commun. Algebra 30, No. 5, 2535--2552 (2002; Zbl 1056.14002) Full Text: DOI
Shelton, Brad; Tingey, Craig On Koszul algebras and a new construction of Artin-Schelter regular algebras. (English) Zbl 1002.16025 J. Algebra 241, No. 2, 789-798 (2001). Reviewer: Serban Raianu (St.Carson) MSC: 16S37 PDFBibTeX XMLCite \textit{B. Shelton} and \textit{C. Tingey}, J. Algebra 241, No. 2, 789--798 (2001; Zbl 1002.16025) Full Text: DOI
Stafford, J. T.; Van den Bergh, M. Noncommutative curves and noncommutative surfaces. (English) Zbl 1042.16016 Bull. Am. Math. Soc., New Ser. 38, No. 2, 171-216 (2001). MSC: 16S38 14A22 16P90 16W50 18E15 PDFBibTeX XMLCite \textit{J. T. Stafford} and \textit{M. Van den Bergh}, Bull. Am. Math. Soc., New Ser. 38, No. 2, 171--216 (2001; Zbl 1042.16016) Full Text: DOI arXiv
Jakobsen, Hans Plesner; Zhang, Hechun A class of quadratic matrix algebras arising from the quantized enveloping algebra \(\mathcal U_q(A_{2n-1})\). (English) Zbl 0981.17012 J. Math. Phys. 41, No. 4, 2310-2336 (2000). Reviewer: Li Fang (Hangzhou) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{H. P. Jakobsen} and \textit{H. Zhang}, J. Math. Phys. 41, No. 4, 2310--2336 (2000; Zbl 0981.17012) Full Text: DOI arXiv
Vancliff, Michaela; Van Rompay, Kristel Four-dimensional regular algebras with point scheme, a nonsingular quadric in \(\mathbb{P}^3\). (English) Zbl 0961.16019 Commun. Algebra 28, No. 5, 2211-2242 (2000). Reviewer: Serban Raianu (Syracuse) MSC: 16S37 16S38 14A22 16W50 PDFBibTeX XMLCite \textit{M. Vancliff} and \textit{K. Van Rompay}, Commun. Algebra 28, No. 5, 2211--2242 (2000; Zbl 0961.16019) Full Text: DOI
Shelton, Brad; Vancliff, Michaela Embedding a quantum rank three quadric in a quantum \(\mathbb{P}^3\). (English) Zbl 0936.16023 Commun. Algebra 27, No. 6, 2877-2904 (1999). Reviewer: S.Raianu (Bucureşti) MSC: 16S37 16W50 14A22 16S35 17B37 PDFBibTeX XMLCite \textit{B. Shelton} and \textit{M. Vancliff}, Commun. Algebra 27, No. 6, 2877--2904 (1999; Zbl 0936.16023) Full Text: DOI
Oh, Sei-Qwon Symplectic ideals of Poisson algebras and the Poisson structure associated to quantum matrices. (English) Zbl 0936.16041 Commun. Algebra 27, No. 5, 2163-2180 (1999). Reviewer: K.R.Goodearl (Santa Barbara) MSC: 16W35 17B63 16D60 17B37 16W30 17B35 81R50 16S30 16W10 PDFBibTeX XMLCite \textit{S.-Q. Oh}, Commun. Algebra 27, No. 5, 2163--2180 (1999; Zbl 0936.16041) Full Text: DOI
Shelton, Brad; Vancliff, Michaela Some quantum \(\mathbb{P}^3\)s with one point. (English) Zbl 0926.16037 Commun. Algebra 27, No. 3, 1429-1443 (1999). Reviewer: J.Gómez Torrecillas (Granada) MSC: 16W50 14A22 16S38 16P10 16S60 17B37 16W35 16S15 16E10 PDFBibTeX XMLCite \textit{B. Shelton} and \textit{M. Vancliff}, Commun. Algebra 27, No. 3, 1429--1443 (1999; Zbl 0926.16037) Full Text: DOI
Bauwens, Kristien; Van den Bergh, Michel Normalizing extensions of the two-Veronese of a three dimensional Artin-Schelter regular algebra on two generators. (English) Zbl 0924.16018 J. Algebra 205, No. 2, 368-390 (1998). Reviewer: C.Năstăsescu (Bucureşti) MSC: 16S20 16P10 16W50 16P90 16E10 PDFBibTeX XMLCite \textit{K. Bauwens} and \textit{M. Van den Bergh}, J. Algebra 205, No. 2, 368--390 (1998; Zbl 0924.16018) Full Text: DOI
Vancliff, M.; Van Rompay, K.; Willaert, L. Some quantum \(\mathbb{P}^3\)s with finitely many points. (English) Zbl 0915.16035 Commun. Algebra 26, No. 4, 1193-1208 (1998). Reviewer: B.Fauser (Tübingen) MSC: 16W50 14A22 16S36 16S80 17B37 14M07 15A66 PDFBibTeX XMLCite \textit{M. Vancliff} et al., Commun. Algebra 26, No. 4, 1193--1208 (1998; Zbl 0915.16035) Full Text: DOI
Vancliff, Michaela; Van Rompay, Kristel Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\). (English) Zbl 0910.16013 J. Algebra 195, No. 1, 93-129 (1997). Reviewer: S.Raianu (Bucureşti) MSC: 16S35 14A22 17B37 16E10 14H52 16W50 14M07 PDFBibTeX XMLCite \textit{M. Vancliff} and \textit{K. Van Rompay}, J. Algebra 195, No. 1, 93--129 (1997; Zbl 0910.16013) Full Text: DOI