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
收藏
页码：1 / 14
页数：14
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