A NOTE ON FINITISTIC DIMENSION OF HOPF-GALOIS EXTENSIONS

被引：0

作者：

Shen, Bing-liang ^{[1
]}

Zhou, Xuan ^{[2
]}

机构：

[1] Shanghai Univ Finance & Econ, Zhejiang Coll, Jinhua, Peoples R China

[2] Jiangsu Inst Educ, Dept Math, Nanjing, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 10期

关键词：

Finitistic dimension; Hopf-Galois extension; Separable functor; ALGEBRAS;

D O I：

10.1080/00927872.2013.811514

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a finite-dimensional Hopf algebra over a field k and A/B be a right H-Galois extension. If the functors A circle times(B) - and (B)(-) are both separable, then the finitistic dimension of A is equal to that of B.

引用

页码：4392 / 4395

页数：4

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