On Semiregular Endomorphism Rings and the Dual of Yamagata's Theorem

被引：0

作者：

Kosan, Tamer ^{[1
]}

Quynh, Truong Cong ^{[2
]}

机构：

[1] Gazi Univ, Dept Math, Fac Sci, Ankara, Turkey

[2] Univ Danang Univ Sci & Educ, Dept Math, 459 Ton Duc Thang, Da Nang City, Vietnam

来源：

ACTA MATHEMATICA VIETNAMICA | 2022年 / 47卷 / 02期

关键词：

delta-small submodule; delta-lifting module; delta-supplemented module; Regular ring; delta-semiregular module; delta-semipotent module; Dual Yamagata's theorem; DELTA-SEMIPERFECT RINGS; MODULES; IDEMPOTENTS; RESPECT;

D O I：

10.1007/s40306-021-00444-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we characterize a module whose endomorphism ring is delta-semiregular. For a right R-module M, we also obtained dual Yamagata's theorem on the set backward difference (delta) = {f is an element of End(M)vertical bar f(M) is delta small in M}.

引用

页码：483 / 493

页数：11

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