ON LIFTING OF IDEMPOTENTS AND SEMIREGULAR ENDOMORPHISM RINGS

被引：4

作者：

Lee, Tsiu-Kwen ^{[1
,2
]}

Zhou, Yiqiang ^{[3
]}

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan

[2] Natl Ctr Theoret Sci, Taipei Off, Div Math, Hsinchu, Taiwan

[3] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

COLLOQUIUM MATHEMATICUM | 2011年 / 125卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

endomorphism ring; semiregular ring; (strong) lifting of idempotents; kernel-extending module; image-lifting module; MODULES;

D O I：

10.4064/cm125-1-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Starting with some observations on (strong) lifting of idempotents, we characterize a module whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with small image. This is the dual of Yamagata's work [Colloq. Math. 113 (2008)] on a module whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with large kernel.

引用

页码：99 / 113

页数：15

共 50 条

[1] On Semiregular Endomorphism Rings and the Dual of Yamagata's Theorem
Kosan, Tamer
Quynh, Truong Cong
ACTA MATHEMATICA VIETNAMICA, 2022, 47 (02) : 483 - 493
[2] STRICT RADICALS AND ENDOMORPHISM RINGS
Gardner, B. J.
ACTA MATHEMATICA HUNGARICA, 2009, 124 (04) : 371 - 383
[3] A new generalization of semiregular rings
Amouzegar, Tayyebeh
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2018, 45 (02): : 167 - 173
[4] Idempotents and structures of rings
Anh, P. N.
Birkenmeier, G. F.
van Wyk, L.
LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (10) : 2002 - 2029
[5] ON COHERENCE OF ENDOMORPHISM RINGS
Zhu, Hai-Yan
Ding, Nan-Qing
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 81 (02) : 186 - 194
[6] REGULARITY IN ENDOMORPHISM RINGS
Mader, Adolf
COMMUNICATIONS IN ALGEBRA, 2009, 37 (08) : 2823 - 2844
[7] Abelian groups whose endomorphism rings are V-rings
Amini, Afshin
Amini, Babak
Momtahan, Ehsan
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[8] Properties of endomorphism rings
K. Varadarajan
Acta Mathematica Hungarica, 1997, 74 : 83 - 92
[9] Idempotents in representation rings of quivers
Kinser, Ryan
Schiffler, Ralf
ALGEBRA & NUMBER THEORY, 2012, 6 (05) : 967 - 994
[10] Semicommutativity of Rings by the Way of Idempotents
Kose, Handan
Ungor, Burcu
Harmanci, Abdullah
FILOMAT, 2019, 33 (11) : 3497 - 3508

← 1 2 3 4 5 →