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

收藏

页码：483 / 493

页数：11

相关论文

共 17 条

[1] Some Results on delta-Semiperfect Rings and delta-Supplemented Modules [J].

Abdioolu, Cihat ;

Sahinkaya, Serap .

KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (02) :289-300

[2] Semiregular modules with respect to a fully invariant submodule [J].

Alkan, M ;

Özcan, AÇ .

COMMUNICATIONS IN ALGEBRA, 2004, 32 (11) :4285-4301

[3]

Anderson FW., 1974, RINGS CATEGORIES MOD, DOI [10.1007/978-1-4684-9913-1, DOI 10.1007/978-1-4684-9913-1]

[4] When δ-semiperfect rings are semiperfect [J].

Buyukasik, Engin ;

Lomp, Christian .

TURKISH JOURNAL OF MATHEMATICS, 2010, 34 (03) :317-324

[5] Rad-⊕-Supplemented Modules and Cofinitely Rad-⊕-Supplemented Modules [J].

Ecevit, Sule ;

Kosan, Muhammet T. ;

Tribak, Rachid .

ALGEBRA COLLOQUIUM, 2012, 19 (04) :637-648

[6] On δ-semiperfect modules [J].

Hau Xuan Nguyen ;

Kosan, M. Tamer ;

Zhou, Yiqiang .

COMMUNICATIONS IN ALGEBRA, 2018, 46 (11) :4965-4977

[7]

Kosan M. T., 2005, OPEN MATH, V3, P273, DOI [10.2478/BF02479203, DOI 10.2478/BF02479203]

[8] δ-lifting and δ-supplemented modules [J].

Kosan, Muhammet Tamer .

ALGEBRA COLLOQUIUM, 2007, 14 (01) :53-60

[9] ON LIFTING OF IDEMPOTENTS AND SEMIREGULAR ENDOMORPHISM RINGS [J].

Lee, Tsiu-Kwen ;

Zhou, Yiqiang .

COLLOQUIUM MATHEMATICUM, 2011, 125 (01) :99-113

[10]

Mohamed SH., 1990, LONDON MATH SOC LNS, DOI [10.1017/CBO9780511600692, DOI 10.1017/CBO9780511600692]