Jia, Huan; Hu, Naihong; Xiong, Rongchuan; Zhang, Yinhuo Quotient Hopf algebras of the free bialgebra with PBW bases and GK-dimensions. (English) Zbl 07828388 Bull. Belg. Math. Soc. - Simon Stevin 30, No. 5, 634-667 (2023). Reviewer: Serban Raianu (Torrance) MSC: 16T05 16T10 16S10 16E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bell, Jason P.; Brown, Ken; Nazemian, Zahra; Smertnig, Daniel On noncommutative bounded factorization domains and prime rings. (English) Zbl 1525.16017 J. Algebra 622, 404-449 (2023). Reviewer: Salvatore Tringali (Shijiazhuang) MSC: 16P40 13F15 16E65 20M13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Wu, Quanshui; Zhu, Ruipeng Yoneda Ext-algebras of Takeuchi smash products. (English) Zbl 1525.16007 J. Algebra 620, 478-501 (2023). Reviewer: Li Liang (Lanzhou) MSC: 16E30 16E45 16S40 16E65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brown, Kenneth A.; Zhang, James J. Iterated Hopf Ore extensions in positive characteristic. (English) Zbl 1510.16028 J. Noncommut. Geom. 16, No. 3, 787-837 (2022). Reviewer: Dmitry Artamonov (Moskva) MSC: 16T05 16S36 16R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brown, Ken; Tabiri, Angela Ankomaah Plane curves which are quantum homogeneous spaces. (English) Zbl 1501.16030 Algebr. Represent. Theory 25, No. 4, 889-922 (2022). Reviewer: Liu Gongxiang (Nanjing) MSC: 16T20 16R10 16P40 16P90 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Brown, K. A.; Zhang, J. J. Survey on Hopf algebras of GK-dimension 1 and 2. (English) Zbl 1506.16039 Andruskiewitsch, Nicolás (ed.) et al., Hopf algebras and tensor categories. International workshop, Nanjing University, Nanjing, China, September 9–13, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 771, 43-62 (2021). MSC: 16T05 17B37 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Skryabin, Serge Flatness over PI coideal subalgebras. (English) Zbl 1493.16034 Isr. J. Math. 245, No. 2, 735-772 (2021). MSC: 16T05 16R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Jing; Wu, Zhixiang; Tan, Yan Some Hopf algebras related to \(\mathfrak{sl}_2\). (English) Zbl 1522.16029 Commun. Algebra 49, No. 8, 3335-3368 (2021). Reviewer: Loïc Foissy (Calais) MSC: 16T05 17B37 81R50 16E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Drupieski, Christopher M.; Kujawa, Jonathan R. Support varieties and modules of finite projective dimension for modular Lie superalgebras. (English) Zbl 1511.17048 Algebra Number Theory 15, No. 5, 1157-1180 (2021). MSC: 17B56 17B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skryabin, Serge Flatness of Noetherian Hopf algebras over coideal subalgebras. (English) Zbl 1483.16034 Algebr. Represent. Theory 24, No. 4, 851-875 (2021). Reviewer: Ramón González Rodríguez (Vigo) MSC: 16T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rogalski, Daniel; Won, Robert; Zhang, James J. A proof of the Brown-Goodearl conjecture for module-finite weak Hopf algebras. (English) Zbl 1486.16037 Algebra Number Theory 15, No. 4, 971-997 (2021). Reviewer: Liu Gongxiang (Nanjing) MSC: 16T05 16E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brown, K. A.; Couto, M. Affine commutative-by-finite Hopf algebras. (English) Zbl 1467.16032 J. Algebra 573, 56-94 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 16T05 16T20 16R10 16G99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Gongxiang A classification result on prime Hopf algebras of GK-dimension one. (English) Zbl 1508.16017 J. Algebra 547, 579-667 (2020). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16E65 16T05 16P40 16S34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brown, K. A.; Gilmartin, P.; Zhang, J. J. Connected (graded) Hopf algebras. (English) Zbl 1478.16019 Trans. Am. Math. Soc. 372, No. 5, 3283-3317 (2019). MSC: 16T05 16W50 17B37 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lü, Jiafeng; Oh, Sei-Qwon; Wang, Xingting; Yu, Xiaolan A note on the bijectivity of the antipode of a Hopf algebra and its applications. (English) Zbl 1441.16037 Proc. Am. Math. Soc. 146, No. 11, 4619-4631 (2018). MSC: 16T05 16E65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brown, Ken A.; Macleod, Marjory J. The Cohen Macaulay property for noncommutative rings. (English) Zbl 1388.16009 Algebr. Represent. Theory 20, No. 6, 1433-1465 (2017). MSC: 16E65 16E10 16E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Goodearl, K. R.; Zhang, J. J. Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two. (English) Zbl 1396.16024 Glasg. Math. J. 59, No. 3, 563-593 (2017). MSC: 16T05 57T05 16P90 16E65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skryabin, Serge On Gorensteinness of Hopf module algebras. (English) Zbl 1381.16036 Glasg. Math. J. 59, No. 2, 299-321 (2017). Reviewer: Irene Paniello (Pamplona) MSC: 16T20 16T05 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Jinyong; Liu, Gongxiang; Ding, Nanqing Classification of affine prime regular Hopf algebras of GK-dimension one. (English) Zbl 1350.16024 Adv. Math. 296, 1-54 (2016). Reviewer: Małgorzata E. Hryniewicka (Białystok) MSC: 16T05 16P90 16E65 16P40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Ding-Guo; Zhang, James J.; Zhuang, Guangbin Connected Hopf algebras of Gelfand-Kirillov dimension four. (English) Zbl 1330.16022 Trans. Am. Math. Soc. 367, No. 8, 5597-5632 (2015). Reviewer: Blas Torrecillas (Almeria) MSC: 16T05 16P90 17B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Xiaolan; Zhang, Yinhuo Calabi-Yau pointed Hopf algebras of finite Cartan type. (English) Zbl 1296.16032 J. Noncommut. Geom. 7, No. 4, 1105-1144 (2013). Reviewer: Earl J. Taft (New Brunswick) MSC: 16T05 16T20 17B37 16E05 16E40 18E30 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Ding-Guo; Zhang, James J.; Zhuang, Guangbin Hopf algebras of GK-dimension two with vanishing Ext-group. (English) Zbl 1355.16033 J. Algebra 388, 219-247 (2013). MSC: 16T05 16P90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goodearl, K. R. Noetherian Hopf algebras. (English) Zbl 1292.16023 Glasg. Math. J. 55A, 75-87 (2013). Reviewer: Earl J. Taft (New Brunswick) MSC: 16T05 16P40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Wang, Ding-Guo; Zhang, James J.; Zhuang, Guangbin Lower bounds of growth of Hopf algebras. (English) Zbl 1286.16030 Trans. Am. Math. Soc. 365, No. 9, 4963-4986 (2013). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16T05 16P90 16T20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Li-Yu; Wu, Quan-Shui Rigid dualizing complexes over quantum homogeneous spaces. (English) Zbl 1272.16014 J. Algebra 353, No. 1, 121-141 (2012). Reviewer: Kenneth R. Goodearl (Santa Barbara) MSC: 16E65 16T05 16T20 16E05 17B37 × Cite Format Result Cite Review PDF Full Text: DOI
Goodearl, K. R.; Zhang, J. J. Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two. (English) Zbl 1228.16030 J. Algebra 324, No. 11, 3131-3168 (2010). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16T05 16P90 16T20 17B37 16S36 16U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skryabin, Serge Models of quasiprojective homogeneous spaces for Hopf algebras. (English) Zbl 1235.16029 J. Reine Angew. Math. 643, 201-236 (2010). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16T05 16T15 16W50 16D90 × Cite Format Result Cite Review PDF Full Text: DOI
Skryabin, Serge Hopf algebra orbits on the prime spectrum of a module algebra. (English) Zbl 1194.16027 Algebr. Represent. Theory 13, No. 1, 1-31 (2010). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16T05 16S40 16D25 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Gongxiang On Noetherian affine prime regular Hopf algebras of Gelfand-Kirillov dimension 1. (English) Zbl 1175.16025 Proc. Am. Math. Soc. 137, No. 3, 777-785 (2009). Reviewer: Blas Torrecillas (Almeria) MSC: 16T05 16P90 16E65 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, D.-M.; Wu, Q.-S.; Zhang, J. J. Hopf algebras with rigid dualizing complexes. (English) Zbl 1167.16034 Isr. J. Math. 169, 89-108 (2009). Reviewer: Kenneth R. Goodearl (Santa Barbara) (MR2460900) MSC: 16W30 16E65 16P40 16E10 16P90 16W35 × Cite Format Result Cite Review PDF Full Text: DOI
Skryabin, Serge Projectivity of Hopf algebras over subalgebras with semilocal central localizations. (English) Zbl 1161.16031 J. \(K\)-Theory 2, No. 1, 1-40 (2008). Reviewer: Earl J. Taft (New Brunswick) MSC: 16W30 16D40 16U20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brown, K. A.; Zhang, J. J. Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras. (English) Zbl 1159.16009 J. Algebra 320, No. 5, 1814-1850 (2008). Reviewer: Earl J. Taft (New Brunswick) MSC: 16E40 16W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, D.-M.; Wu, Q.-S.; Zhang, James J. Homological integral of Hopf algebras. (English) Zbl 1145.16022 Trans. Am. Math. Soc. 359, No. 10, 4945-4975 (2007). Reviewer: Phùng Hô Hai (Essen) MSC: 16T05 16E65 16E30 16P90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goodearl, K. R.; Zhang, J. J. Homological properties of quantized coordinate rings of semisimple groups. (English) Zbl 1120.16039 Proc. Lond. Math. Soc. (3) 94, No. 3, 647-671 (2007). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16W35 16W30 17B37 16P90 16D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skryabin, Serge New results on the bijectivity of antipode of a Hopf algebra. (English) Zbl 1125.16031 J. Algebra 306, No. 2, 622-633 (2006). Reviewer: Serban Raianu (Carson) MSC: 16W30 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Q.-S.; Zhang, J. J. Regularity of involutory PI Hopf algebras. (English) Zbl 1065.16036 J. Algebra 256, No. 2, 599-610 (2002). Reviewer: Martin D. Crossley (Swansea) MSC: 16W30 16E10 16R20 × Cite Format Result Cite Review PDF Full Text: DOI