Primitive and prime rings with s.Baer or related modules

被引：0

作者：

Birkenmeier, Gary F. ^{[1
]}

Kara, Yeliz ^{[2
]}

Tercan, Adnan ^{[3
]}

机构：

[1] Univ Louisiana, Dept Math, Lafayette, LA 70504 USA

[2] Bursa Uludag Univ, Dept Math, TR-16059 Bursa, Turkiye

[3] Hacettepe Univ, Dept Math, Beytepe Campus, TR-06532 Ankara, Turkiye

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 03期

关键词：

Baer ring; prime ring; primitive ring; right Rickart ring; s; Baer module; Rickart module; simple module;

D O I：

10.1142/S0219498824500440

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we characterize some classes of primitive or prime rings in terms of s.Baer, quasi-s.Baer, s.Rickart, or p.q.-s.Baer modules.

引用

页数：8

共 19 条

[1] Quasi-s.Baer and related modules [J].

Birkenmeier, Gary F. ;

Kara, Yeliz ;

Tercan, Adnan .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (03)

[2] π-endo Baer modules [J].

Birkenmeier, Gary F. ;

Kara, Yeliz ;

Tercan, Adnan .

COMMUNICATIONS IN ALGEBRA, 2020, 48 (03) :1132-1149

[3] A classification of indecomposable Quasi-Frobenius rings I [J].

Birkenmeier, Gary F. ;

Almallah, Omar .

COMMUNICATIONS IN ALGEBRA, 2019, 47 (12) :5121-5132

[4] Annihilators and extensions of idempotent-generated ideals [J].

Birkenmeier, Gary F. ;

Heider, Blaise J. .

COMMUNICATIONS IN ALGEBRA, 2019, 47 (03) :1348-1375

[5] s.Baer and s.Rickart Modules [J].

Birkenmeier, Gary F. ;

LeBlanc, Richard L. .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (08)

[6] Right primary and nilary rings and ideals [J].

Birkenmeier, Gary F. ;

Kim, Jin Yong ;

Park, Jae Keol .

JOURNAL OF ALGEBRA, 2013, 378 :133-152

[7] IDEMPOTENTS AND COMPLETELY SEMIPRIME IDEALS [J].

BIRKENMEIER, GF .

COMMUNICATIONS IN ALGEBRA, 1983, 11 (06) :567-580

[8] ENDOMORPHISM-RINGS OF MODULES OVER NON-SINGULAR CS RINGS [J].

CHATTERS, AW ;

KHURI, SM .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1980, 21 (JUN) :434-444

[9] COMMUTATIVE PP RINGS [J].

EVANS, MW .

PACIFIC JOURNAL OF MATHEMATICS, 1972, 41 (03) :687-&

[10] GROUP RINGS OF FREE PRODUCTS ARE PRIMITIVE [J].

FORMANEK, E .

JOURNAL OF ALGEBRA, 1973, 26 (03) :508-511

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