Notes on cotorsion dimension of Hopf-Galois extensions

被引：0
|
作者：
Zhou, Xiaoyan [1 ]
Wei, Min [1 ]
机构：
[1] Nanjing Agr Univ, Coll Sci, Nanjing, Jiangsu, Peoples R China
来源：
TURKISH JOURNAL OF MATHEMATICS | 2016年 / 40卷 / 01期
关键词：
Hopf-Galois extension; cotorsion dimension; smash product; MODULES; ALGEBRAS; COVERS; RINGS;
D O I：
10.3906/mat-1408-59
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. In this note the relationship of cotorsion dimensions between A and B will be studied. We prove that r.cot.D(A) <= r.cot.D(B) +1.D(H). Moreover, we give some sufficient conditions for which r.cot.D(A) = r.cot.D(B). As applications, we obtain some results about cotorsion dimension of the smash product.
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页码：108 / 113
页数：6
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