ON IF-RINGS

被引：0

作者：

Diompy, Mankagna Albert ^{[1
]}

Diabang, Andre Souleye ^{[2
]}

Diouf, Remy Diaga ^{[1
]}

Bousso, Ousseynou ^{[1
]}

机构：

[1] Univ Cheikh Anta Diop, Fac Sci & Tech, Dept Math Informat, Dakar, Senegal

[2] Univ Iba Der Thiam, Fac Sci & Tech, Dept Math & Informat, Thies, Senegal

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2024年 / 63卷 / 01期

关键词：

strongly cohopfian module; IF-ring; artinian ring with principal ideals; semilocal ring; quasi-Frobenius ring; Kothe ring; MODULES;

D O I：

10.17654/0972555524004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R denote an associative ring with unit 1 not equal 0. Then it is well known that any artinian R-module is strongly cohopfian, but the converse is not true, in general. The aim of this work is to study some classes of rings R for which strongly cohopfian modules and artinian modules coincide. These kinds of rings are said to be IF -rings. We characterize the IF -rings which are artinian principal ideals, the IFrings semilocal, the quasi-Frobenius IF -rings and the Kothe IF -rings.

引用

页码：65 / 76

页数：12

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