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}.
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页码：483 / 493
页数：11
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