Separable extensions for crossed products over monoidal Hom-Hopf algebras

被引：1

作者：

Wang, Zhongwei ^{[1
]}

Chen, Yuanyuan ^{[2
]}

Zhang, Liangyun ^{[2
]}

机构：

[1] Jinling Inst Technol, Dept Basic Sci, Nanjing 211169, Jiangsu, Peoples R China

[2] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Jiangsu, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2018年 / 17卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Frobenius monoidal Hom-Hopf algebra; Hom-Hopf Galois extension; trace one element; Hom-crossed product; LIE-ALGEBRAS; DEFORMATIONS; DERIVATIONS;

D O I：

10.1142/S021949881850161X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (H, alpha) be a Frobenius monoidal Hom-Hopf algebra, and (A, beta) an (H*, alpha*(-1))-Hom-Hopf Galois extension of (A(H), beta vertical bar H-A). We prove that the separability of the Hom-algebra extension A/A(H) is equivalent to the existence of a trace one element omega is an element of C-A#H(A) that centralizes A. As applications, we obtain the differentiated conditions for the extension A#H-sigma/A to be separable, and deduce a Doi's result of Hom-type.

引用

页数：20

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