Modules Coinvariant Under the Idempotent Endomorphisms of Their Covers

被引：3

作者：

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

Le, V. T. ^{[2
]}

Truong, C. Q. ^{[3
]}

Tuganbaev, A. A. ^{[4
]}

机构：

[1] Kazan Volga Reg Fed Univ, Kazan, Russia

[2] Hue Univ, Coll Educ, Dept Math, Hue City, Vietnam

[3] Univ Sci & Educ, Univ Danang, Dept Math, Danang City, Vietnam

[4] Natl Res Univ MPEI, Moscow, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2019年 / 60卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

quasi-injective module; quasiprojective module; discrete module; continuous module; automorphism-coinvariant module; envelope; cover; RINGS; INVARIANT; AUTOMORPHISMS;

D O I：

10.1134/S0037446619060016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the modules that are coinvariant under the idempotent endomorphisms of their covers. Some generalizations of discrete and continuous modules are introduced and inspected on using the theory of covers and envelopes of modules. By way of application, we consider the cases of flat covers, injective envelopes, and pure injective envelopes.

引用

页码：927 / 939

页数：13

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