Pure projective, pure injective and FP-injective modules over trivial ring extensions

被引：0

作者：

Mao, Lixin ^{[1
]}

机构：

[1] Nanjing Inst Technol Nanjing, Sch Math & Phys, Nanjing 211167, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2023年 / 33卷 / 04期

关键词：

Trivial extension; pure projective module; pure injective module; FP-injective module; FLAT;

D O I：

10.1142/S0218196723500315

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R ? M be a trivial extension of a ring R by an R-R-bimodule M. We first study the properties of pure projective and pure injective modules over R ? M. Then we characterize FP-injective modules over R ? M. Finally some applications are given to Morita context rings.

引用

页码：699 / 716

页数：18

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