Simple-Direct Modules Over Formal Matrix Rings

被引：0

作者：

Abyzov, A. N. ^{[1
]}

Tapkin, D. T. ^{[1
]}

机构：

[1] Kazan Volga Reg Fed Univ, Dept Algebra & Math Log, Kazan 420008, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

simple-direct-injective module; simple-direct-projective module;

D O I：

10.1134/S1995080221010029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study simple-direct-injective modules and simple-direct-projective modules over a formal matrix ring K = (R M N S) , where M is an (R, S)-bimodule and N is a (S, R)-bimodule over rings R and S. We determine necessary and sufficient conditions for a K-module to be, respectively, simple-direct-injective or simple-direct-projective. We also give some examples to illustrate and delimit our results.

引用

页码：1 / 14

页数：14