On some H-Galois objects and their polynomial H-identities

被引：0
作者：
Waldeck Schützer
Abel Gomes de Oliveira
机构：
[1] Universidade Federal de São Carlos,Departamento de Matemática
[2] UFSCar,undefined
来源：
Archiv der Mathematik | 2021年 / 116卷
关键词：
Hopf algebra; Comodule algebra; Galois object; Polynomial identity; Primary 16R40; Secondary 16T15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let k be an algebraically closed field of characteristic 0 and H a non-semisimple monomial Hopf algebra. Extending a previous result of Kassel (Ann Math Blaise Pascal 20: 175–191, 2013), we prove that some (not necessarily bi-)Galois objects over H are determined up to H-comodule algebra isomorphism by their polynomial H-identities.
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页码：7 / 18
页数：11
相关论文
共 19 条
[1]  
Aljadeff E(2014)Simple Trans. Amer. Math. Soc. 366 1749-1771
[2]  
Haile D(2019)-graded algebras and their polynomial identities Linear Algebra Appl. 562 1-14
[3]  
Bahturin Y(2006)Graded polynomial identities as identities of universal algebras J. Algebra Appl. 5 653-680
[4]  
Yasumura F(2004)Galois and bigalois objects over monomial non-semisimple Hopf algebras J. Algebra 275 212-232
[5]  
Bichon J(1992)Monomial Hopf algebras Comm. Algebra 20 309-327
[6]  
Chen X-W(2013)Distinguishing simple Jordan algebras by means of polynomial identities Ann. Math. Blaise Pascal 20 175-191
[7]  
Huang H-L(2010)Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras Linear Algebra Appl. 432 3141-3148
[8]  
Ye Y(1976)Identities and isomorphisms of graded simple algebras J. Algebra 43 115-121
[9]  
Zhang P(1994)Galois theories and normal bases Comm. Algebra 22 4537-4559
[10]  
Drensky VS(2011)Cleft extensions for a Hopf algebra generated by a nearly primitive element Comm. Algebra 39 929-932
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