n-Gorenstein Projective Modules and Dimensions over Frobenius Extensions

被引：1
作者：
Miao WANG [1 ]
Zhanping WANG [1 ]
机构：
[1] Department of Mathematics, Northwest Normal University
来源：
JournalofMathematicalResearchwithApplications | 2021年 / 41卷 / 01期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O153.3 [环论];
学科分类号：
070104 ;
摘要：
In this paper, we study n-Gorenstein projective modules over Frobenius extensions and n-Gorenstein projective dimensions over separable Frobenius extensions. Let R ? A be a Frobenius extension of rings and M any left A-module. It is proved that M is an n-Gorenstein projective left A-module if and only if A ?;M and Hom;（A, M） are n-Gorenstein projective left A-modules if and only if M is an n-Gorenstein projective left R-module. Furthermore, when R ? A is a separable Frobenius extension, n-Gorenstein projective dimensions are considered.
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收藏
页码：25 / 32
页数：8
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