Zhao, Xiaofan; Wang, Shuanhong A note on ribbon elements of Hopf group-coalgebras. (English) Zbl 1349.16055 J. Southeast Univ., Engl. Ed. 31, No. 2, 294-296 (2015). MSC: 16T15 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{S. Wang}, J. Southeast Univ., Engl. Ed. 31, No. 2, 294--296 (2015; Zbl 1349.16055) Full Text: DOI
Bennoun, Steve; Pfeiffer, Hendryk Weak bialgebras of fractions. (English) Zbl 1304.16038 J. Algebra 385, 145-163 (2013). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16T10 16S85 16T05 PDF BibTeX XML Cite \textit{S. Bennoun} and \textit{H. Pfeiffer}, J. Algebra 385, 145--163 (2013; Zbl 1304.16038) Full Text: DOI arXiv
Khare, Apoorva The sum of a finite group of weights of a Hopf algebra. (English) Zbl 1298.16019 Axioms 1, No. 3, 259-290 (2012). MSC: 16T05 17B37 17B10 PDF BibTeX XML Cite \textit{A. Khare}, Axioms 1, No. 3, 259--290 (2012; Zbl 1298.16019) Full Text: DOI arXiv
El Kaoutit, L.; Gómez-Torrecillas, J. On the set of grouplikes of a coring. (English) Zbl 1263.16035 Acta Math. Sin., Engl. Ser. 28, No. 1, 195-204 (2012). MSC: 16T15 16E40 16W22 PDF BibTeX XML Cite \textit{L. El Kaoutit} and \textit{J. Gómez-Torrecillas}, Acta Math. Sin., Engl. Ser. 28, No. 1, 195--204 (2012; Zbl 1263.16035) Full Text: DOI arXiv
Delvaux, L.; Van Daele, A.; Wang, Shuanhong A note on the antipode for algebraic quantum groups. (English) Zbl 1252.16028 Can. Math. Bull. 55, No. 2, 260-270 (2012). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16T05 16T20 17B37 46L65 PDF BibTeX XML Cite \textit{L. Delvaux} et al., Can. Math. Bull. 55, No. 2, 260--270 (2012; Zbl 1252.16028) Full Text: DOI Link
Kassel, Christian Generic Hopf Galois extensions. (English) Zbl 1247.16025 Marcolli, Matilde (ed.) et al., Quantum groups and noncommutative spaces. Perspectives on quantum geometry. Based on the presentations at the workshop, Bonn, Germany, August 6–8, 2007. Wiesbaden: Vieweg+Teubner (ISBN 978-3-8348-1442-5/hbk; 978-3-8348-9831-9/ebook). Aspects of Mathematics E41, 104-120 (2011). MSC: 16T05 16S40 16S80 16T20 PDF BibTeX XML Cite \textit{C. Kassel}, in: Quantum groups and noncommutative spaces. Perspectives on quantum geometry. Based on the presentations at the workshop, Bonn, Germany, August 6--8, 2007. Wiesbaden: Vieweg+Teubner. 104--120 (2011; Zbl 1247.16025) Full Text: DOI arXiv
Jedwab, Andrea; Krop, Leonid Trace-like invariant for representations of nilpotent liftings of quantum planes. (English) Zbl 1229.16026 Commun. Algebra 39, No. 4, 1465-1475 (2011). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16T20 16T05 16D60 PDF BibTeX XML Cite \textit{A. Jedwab} and \textit{L. Krop}, Commun. Algebra 39, No. 4, 1465--1475 (2011; Zbl 1229.16026) Full Text: DOI arXiv
Guédénon, T. Projectivity and flatness over the graded ring of semi-coinvariants. (English) Zbl 1212.16069 Algebra Discrete Math. 10, No. 1, 42-56 (2010). MSC: 16T15 16D40 16S50 16W22 PDF BibTeX XML Cite \textit{T. Guédénon}, Algebra Discrete Math. 10, No. 1, 42--56 (2010; Zbl 1212.16069)
Delvaux, L. Traces on multiplier Hopf algebras. (English) Zbl 1216.16020 Commun. Algebra 38, No. 1, 346-360 (2010). Reviewer: Li Fang (Hangzhou) MSC: 16T05 17B37 PDF BibTeX XML Cite \textit{L. Delvaux}, Commun. Algebra 38, No. 1, 346--360 (2010; Zbl 1216.16020) Full Text: DOI
Guédénon, T. Addenda and corrigenda: Picard group of rings of coinvariants. (English) Zbl 1175.16024 Algebr. Represent. Theory 12, No. 1, 97-99 (2009). MSC: 16T05 14C22 16W22 PDF BibTeX XML Cite \textit{T. Guédénon}, Algebr. Represent. Theory 12, No. 1, 97--99 (2009; Zbl 1175.16024) Full Text: DOI
Ruminski, Marcin; Tyc, Andrzej On the group of units of the convolution algebras for pointed coalgebras. Applications to pointed Hopf algebras. (English) Zbl 1186.16038 Arab. J. Sci. Eng., Sect. C, Theme Issues 33, No. 2, 413-419 (2008). MSC: 16T15 16U60 16E30 PDF BibTeX XML Cite \textit{M. Ruminski} and \textit{A. Tyc}, Arab. J. Sci. Eng., Sect. C, Theme Issues 33, No. 2, 413--419 (2008; Zbl 1186.16038)
Wang, Yongzhong; Jiao, Zhengming The integrals and grouplikes of generalized smash-biproduct. (Chinese. English summary) Zbl 1174.16321 J. Henan Norm. Univ., Nat. Sci. 36, No. 2, 14-16, 19 (2008). MSC: 16W30 16S40 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{Z. Jiao}, J. Henan Norm. Univ., Nat. Sci. 36, No. 2, 14--16, 19 (2008; Zbl 1174.16321)
Kadison, Lars Simplicial Hochschild cochains as an Amitsur complex. (English) Zbl 1156.16008 J. Gen. Lie Theory Appl. 2, No. 3, 180-184 (2008). MSC: 16E40 16W30 PDF BibTeX XML Cite \textit{L. Kadison}, J. Gen. Lie Theory Appl. 2, No. 3, 180--184 (2008; Zbl 1156.16008) Full Text: DOI Link arXiv
Burciu, Sebastian A class of Drinfeld doubles that are ribbon algebras. (English) Zbl 1163.16025 J. Algebra 320, No. 5, 2053-2078 (2008). Reviewer: Yang Shilin (Beijing) MSC: 16W30 18D10 16W35 PDF BibTeX XML Cite \textit{S. Burciu}, J. Algebra 320, No. 5, 2053--2078 (2008; Zbl 1163.16025) Full Text: DOI Backlinks: MO
Guédénon, T. Picard groups of rings of coinvariants. (English) Zbl 1155.16028 Algebr. Represent. Theory 11, No. 1, 25-42 (2008). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16W30 14C22 16W22 PDF BibTeX XML Cite \textit{T. Guédénon}, Algebr. Represent. Theory 11, No. 1, 25--42 (2008; Zbl 1155.16028) Full Text: DOI
Kashina, Yevgenia Groups of grouplike elements of a semisimple Hopf algebra and its dual. (English) Zbl 1146.16020 Kauffman, Louis H. (ed.) et al., Hopf algebras and generalizations. AMS special session on Hopf algebras at the crossroads of algebra, category theory, and topology, Evanston, IL, USA, October 23–24, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3820-4/pbk). Contemporary Mathematics 441, 53-62 (2007). MSC: 16W30 PDF BibTeX XML Cite \textit{Y. Kashina}, Contemp. Math. 441, 53--62 (2007; Zbl 1146.16020)
Artamonov, V. A. Semisimple finite-dimensional Hopf algebras. (English. Russian original) Zbl 1156.16027 Sb. Math. 198, No. 9, 1221-1245 (2007); translation from Mat. Sb. 198, No. 9, 3-28 (2007). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16W30 PDF BibTeX XML Cite \textit{V. A. Artamonov}, Sb. Math. 198, No. 9, 1221--1245 (2007; Zbl 1156.16027); translation from Mat. Sb. 198, No. 9, 3--28 (2007) Full Text: DOI
Ye, Lixia; Wu, Zhixiang Weak Hopf algebra structure of weak quantum algebra \(wU_q(\mathcal G)\). (Chinese. English summary) Zbl 1132.17008 Appl. Math., Ser. A (Chin. Ed.) 22, No. 3, 363-370 (2007). MSC: 17B37 16W30 PDF BibTeX XML Cite \textit{L. Ye} and \textit{Z. Wu}, Appl. Math., Ser. A (Chin. Ed.) 22, No. 3, 363--370 (2007; Zbl 1132.17008)
Mrčun, Janez Sheaf coalgebras and duality. (English) Zbl 1182.16027 Topology Appl. 154, No. 15, 2795-2812 (2007). Reviewer: Serban Raianu (Carson) MSC: 16T15 18F20 58H05 22A22 PDF BibTeX XML Cite \textit{J. Mrčun}, Topology Appl. 154, No. 15, 2795--2812 (2007; Zbl 1182.16027) Full Text: DOI
Caenepeel, S.; Guédénon, T. Fully bounded Noetherian rings and Frobenius extensions. (English) Zbl 1126.16025 J. Algebra Appl. 6, No. 2, 189-206 (2007). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16W30 16P40 16L60 PDF BibTeX XML Cite \textit{S. Caenepeel} and \textit{T. Guédénon}, J. Algebra Appl. 6, No. 2, 189--206 (2007; Zbl 1126.16025) Full Text: DOI arXiv
Natale, Sonia Semisolvability of semisimple Hopf algebras of low dimension. (English) Zbl 1185.16033 Mem. Am. Math. Soc. 874, 123 p. (2007). Reviewer: Earl J. Taft (New Brunswick) MSC: 16T05 PDF BibTeX XML Cite \textit{S. Natale}, Semisolvability of semisimple Hopf algebras of low dimension. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1185.16033) Full Text: DOI arXiv
Beattie, Margaret; Bulacu, Daniel; Torrecillas, Blas Radford’s \(S^4\) formula for co-Frobenius Hopf algebras. (English) Zbl 1115.16016 J. Algebra 307, No. 1, 330-342 (2007). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16W30 PDF BibTeX XML Cite \textit{M. Beattie} et al., J. Algebra 307, No. 1, 330--342 (2007; Zbl 1115.16016) Full Text: DOI arXiv
Wisbauer, Robert From Galois field extensions to Galois comodules. (English) Zbl 1120.16038 Chen, J.L. (ed.) et al., Advances in ring theory. Proceedings of the 4th China-Japan-Korea international conference, Nanjing, China, June 24–28, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-425-X). 263-281 (2005). MSC: 16W30 16D90 16W22 12F10 PDF BibTeX XML Cite \textit{R. Wisbauer}, in: Advances in ring theory. Proceedings of the 4th China-Japan-Korea international conference, Nanjing, China, June 24--28, 2004. Hackensack, NJ: World Scientific. 263--281 (2005; Zbl 1120.16038)
Yang, Shilin Weak Hopf algebras corresponding to Cartan matrices. (English) Zbl 1110.16047 J. Math. Phys. 46, No. 7, 073502, 18 p. (2005). MSC: 16W30 17B37 81R50 PDF BibTeX XML Cite \textit{S. Yang}, J. Math. Phys. 46, No. 7, 073502, 18 p. (2005; Zbl 1110.16047) Full Text: DOI arXiv
Yin, Yanmin Morita contexts on the Hopf algebroid. (English) Zbl 1125.16032 Sci. China, Ser. A 48, No. 7, 958-971 (2005). MSC: 16W30 16D90 PDF BibTeX XML Cite \textit{Y. Yin}, Sci. China, Ser. A 48, No. 7, 958--971 (2005; Zbl 1125.16032) Full Text: DOI
Etingof, Pavel; Gelaki, Shlomo Radically graded finite-dimensional quasi-Hopf algebras. (English) Zbl 1084.16030 Mosc. Math. J. 5, No. 2, 371-378 (2005). MSC: 16W30 17B37 16W50 17B20 PDF BibTeX XML Cite \textit{P. Etingof} and \textit{S. Gelaki}, Mosc. Math. J. 5, No. 2, 371--378 (2005; Zbl 1084.16030) Full Text: arXiv
Böhm, Gabriella; Brzeziński, Tomasz Strong connections and the relative Chern-Galois character for corings. (English) Zbl 1111.16038 Int. Math. Res. Not. 2005, No. 42, 2580-2625 (2005). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16W30 PDF BibTeX XML Cite \textit{G. Böhm} and \textit{T. Brzeziński}, Int. Math. Res. Not. 2005, No. 42, 2580--2625 (2005; Zbl 1111.16038) Full Text: DOI arXiv
Menini, Claudia; Militaru, Gigel The affineness criterion for Doi-Koppinen modules. (English) Zbl 1079.16027 Caenepeel, Stefaan (ed.) et al., Hopf algebras in noncommutative geometry and physics. Proceedings of the conference on Hopf algebras and quantum groups, Brussels, Belgium, May 28–June 1, 2002. New York, NY: Marcel Dekker (ISBN 0-8247-5759-9/pbk). Lecture Notes in Pure and Applied Mathematics 239, 215-227 (2005). MSC: 16W30 16D90 PDF BibTeX XML Cite \textit{C. Menini} and \textit{G. Militaru}, Lect. Notes Pure Appl. Math. 239, 215--227 (2005; Zbl 1079.16027)
Caenepeel, Stefaan; Vercruysse, Joost; Wang, Shuanhong Rationality properties for Morita contexts associated to corings. (English) Zbl 1080.16039 Caenepeel, Stefaan (ed.) et al., Hopf algebras in noncommutative geometry and physics. Proceedings of the conference on Hopf algebras and quantum groups, Brussels, Belgium, May 28–June 1, 2002. New York, NY: Marcel Dekker (ISBN 0-8247-5759-9/pbk). Lecture Notes in Pure and Applied Mathematics 239, 113-136 (2005). MSC: 16W30 16D90 PDF BibTeX XML Cite \textit{S. Caenepeel} et al., Lect. Notes Pure Appl. Math. 239, 113--136 (2005; Zbl 1080.16039)
Abuhlail, Jawad Morita contexts for corings and equivalences. (English) Zbl 1080.16033 Caenepeel, Stefaan (ed.) et al., Hopf algebras in noncommutative geometry and physics. Proceedings of the conference on Hopf algebras and quantum groups, Brussels, Belgium, May 28–June 1, 2002. New York, NY: Marcel Dekker (ISBN 0-8247-5759-9/pbk). Lecture Notes in Pure and Applied Mathematics 239, 1-19 (2005). Reviewer: Margaret Beattie (Sackville) MSC: 16W30 16D90 16S40 PDF BibTeX XML Cite \textit{J. Abuhlail}, Lect. Notes Pure Appl. Math. 239, 1--19 (2005; Zbl 1080.16033)
Caenepeel, S. Galois corings from the descent theory point of view. (English) Zbl 1082.16043 Janelidze, George (ed.) et al., Galois theory, Hopf algebras, and semiabelian categories. Papers from the workshop on categorical structures for descent and Galois theory, Hopf algebras, and semiabelian categories, Toronto, ON, Canada, September 23–28, 2002. (ISBN 0-8218-3290-5/hbk). Fields Institute Communications 43, 163-186 (2004). Reviewer: Jawad Y. Abuhlail (Dhahran) MSC: 16W30 16D90 18D10 PDF BibTeX XML Full Text: arXiv
El Kaoutit, L.; Gómez-Torrecillas, J.; Lobillo, F. J. Semisimple corings. (English) Zbl 1071.16033 Algebra Colloq. 11, No. 4, 427-442 (2004). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16W30 16D60 PDF BibTeX XML Cite \textit{L. El Kaoutit} et al., Algebra Colloq. 11, No. 4, 427--442 (2004; Zbl 1071.16033) Full Text: arXiv
Burciu, S. Representations of degree three for semisimple Hopf algebras. (English) Zbl 1068.16053 J. Pure Appl. Algebra 194, No. 1-2, 85-93 (2004). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 PDF BibTeX XML Cite \textit{S. Burciu}, J. Pure Appl. Algebra 194, No. 1--2, 85--93 (2004; Zbl 1068.16053) Full Text: DOI
Caenepeel, S.; Vercruysse, J.; Wang, Shuanhong Morita theory for corings and cleft entwining structures. (English) Zbl 1064.16037 J. Algebra 276, No. 1, 210-235 (2004). Reviewer: Margaret Beattie (Sackville) MSC: 16W30 16D90 16S40 16L60 PDF BibTeX XML Cite \textit{S. Caenepeel} et al., J. Algebra 276, No. 1, 210--235 (2004; Zbl 1064.16037) Full Text: DOI arXiv
Andruskiewitsch, N.; Beattie, M. The coradical of the dual of a lifting of a quantum plane. (English) Zbl 1065.16032 Bergen, Jeffrey (ed.) et al., Hopf algebras. Proceedings from the international conference, DePaul University, Chicago, IL, USA held during the 2001–2002 academic year. New York, NY: Marcel Dekker (ISBN 0-8247-5566-9/pbk). Lect. Notes Pure Appl. Math. 237, 47-63 (2004). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16W30 PDF BibTeX XML Cite \textit{N. Andruskiewitsch} and \textit{M. Beattie}, Lect. Notes Pure Appl. Math. 237, 47--63 (2004; Zbl 1065.16032)
Brzeziński, Tomasz The structure of corings with a grouplike element. (English) Zbl 1066.16034 Hajac, Piotr M. (ed.) et al., Noncommutative geometry and quantum groups. Proceedings of the Banach Center school/conference, Warsaw, Poland, September 17–29, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 61, 21-35 (2003). MSC: 16W30 81R50 81R60 PDF BibTeX XML Cite \textit{T. Brzeziński}, Banach Cent. Publ. 61, 21--35 (2003; Zbl 1066.16034)
Virelizier, Alexis Hopf group-coalgebras. (English) Zbl 1011.16023 J. Pure Appl. Algebra 171, No. 1, 75-122 (2002). Reviewer: F.J.Lobillo (Granada) MSC: 16W30 16W50 81R50 17B37 PDF BibTeX XML Cite \textit{A. Virelizier}, J. Pure Appl. Algebra 171, No. 1, 75--122 (2002; Zbl 1011.16023) Full Text: DOI arXiv
Delvaux, Lydia Pairing and Drinfel’d-double of Ore-extensions. (English) Zbl 0985.16020 Commun. Algebra 29, No. 7, 3167-3177 (2001). Reviewer: Margaret Beattie (Sackville) MSC: 16W30 16S36 16S40 PDF BibTeX XML Cite \textit{L. Delvaux}, Commun. Algebra 29, No. 7, 3167--3177 (2001; Zbl 0985.16020) Full Text: DOI
Bell, Allen D. Comodule algebras and Galois extensions relative to polynomial algebras, free algebras, and enveloping algebras. (English) Zbl 0947.16023 Commun. Algebra 28, No. 1, 337-362 (2000). Reviewer: H.F.Kreimer (Tallahassee) MSC: 16W30 16W50 16W70 16S40 PDF BibTeX XML Cite \textit{A. D. Bell}, Commun. Algebra 28, No. 1, 337--362 (2000; Zbl 0947.16023) Full Text: DOI
Gelaki, Shlomo; Westreich, Sara On semisimple Hopf algebras of dimension \(pq\). (English) Zbl 0941.16025 Proc. Am. Math. Soc. 128, No. 1, 39-47 (2000); errata ibid. 128, No. 9, 2829-2831 (2000).. Reviewer: Margaret Beattie (Sackville) MSC: 16W30 PDF BibTeX XML Cite \textit{S. Gelaki} and \textit{S. Westreich}, Proc. Am. Math. Soc. 128, No. 1, 39--47 (2000; Zbl 0941.16025) Full Text: DOI arXiv
Panaite, Florin; Van Oystaeyen, Freddy Quasitriangular structures for some pointed Hopf algebras of dimension \(2^n\). (English) Zbl 0943.16019 Commun. Algebra 27, No. 10, 4929-4942 (1999). Reviewer: Margaret Beattie (Sackville) MSC: 16W30 PDF BibTeX XML Cite \textit{F. Panaite} and \textit{F. Van Oystaeyen}, Commun. Algebra 27, No. 10, 4929--4942 (1999; Zbl 0943.16019) Full Text: DOI
Caenepeel, S.; Dăscălescu, S. Pointed Hopf algebras of dimension \(p^3\). (English) Zbl 0917.16016 J. Algebra 209, No. 2, 622-634 (1998). Reviewer: Margaret Beattie (Sackville) MSC: 16W30 PDF BibTeX XML Cite \textit{S. Caenepeel} and \textit{S. Dăscălescu}, J. Algebra 209, No. 2, 622--634 (1998; Zbl 0917.16016) Full Text: DOI
Caenepeel, S.; Dăscălescu, S.; Raianu, Ş. Cosemisimple Hopf algebras coacting on coalgebras. (English) Zbl 0855.16032 Commun. Algebra 24, No. 5, 1649-1677 (1996). Reviewer: C.Năstăsescu (Bucureşti) MSC: 16W30 16D90 16S40 16W50 PDF BibTeX XML Cite \textit{S. Caenepeel} et al., Commun. Algebra 24, No. 5, 1649--1677 (1996; Zbl 0855.16032) Full Text: DOI
Koryukin, A. N. Color Lie superalgebras and Hopf algebras. (English. Russian original) Zbl 0856.16039 Algebra Logic 34, No. 4, 232-241 (1995); translation from Algebra Logika 34, No. 4, 420-436 (1995). Reviewer: P.M.Cohn (London) MSC: 16W30 17B70 16D90 PDF BibTeX XML Cite \textit{A. N. Koryukin}, Algebra Logic 34, No. 4, 232--241 (1995; Zbl 0856.16039); translation from Algebra Logika 34, No. 4, 420--436 (1995) Full Text: DOI EuDML
Doi, Yukio Braided bialgebras and quadratic bialgebras. (English) Zbl 0779.16015 Commun. Algebra 21, No. 5, 1731-1749 (1993). Reviewer: Y.Doi (Fukui) MSC: 16W30 17B37 PDF BibTeX XML Cite \textit{Y. Doi}, Commun. Algebra 21, No. 5, 1731--1749 (1993; Zbl 0779.16015) Full Text: DOI
Kleiner, Mark The dual ring to a coring with a grouplike. (English) Zbl 0606.16014 Proc. Am. Math. Soc. 91, 540-542 (1984). Reviewer: A.Skowroński (Toruń) MSC: 16W99 16D90 16W30 16D80 PDF BibTeX XML Cite \textit{M. Kleiner}, Proc. Am. Math. Soc. 91, 540--542 (1984; Zbl 0606.16014) Full Text: DOI