ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS

被引：1

作者：

Calugareanu, Grigore ^{[1
]}

Chekhlov, Andrey ^{[2
]}

机构：

[1] Babes Bolyai Univ, Fac Math & Comp Sci, Dept Math, Cluj Napoca 40084, Romania

[2] Tomsk State Univ, Fac Mech & Math, Dept Math, Tomsk, Russia

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2021年 / 30卷

关键词：

Left comorphic ring; Abelian group; endomorphism ring; OBJECTS;

D O I：

10.24330/ieja.969907

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ring R is called left comorphic if for every a is an element of R there exists b is an element of R such that the left and right annihilators satisfy Ra = l(b) and r (a) = bR. In this paper, the Abelian groups with left comorphic endomorphism rings are completely determined.

引用

页码：217 / 230

页数：14

共 19 条

[1] Comorphic rings [J].

Alkan, M. ;

Nicholson, W. K. ;

Ozcan, A. C. .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (04)

[2] MORPHIC ABELIAN GROUPS [J].

Calugareanu, G. .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2010, 9 (02) :185-193

[3] Abelian groups with left morphic endomorphism ring [J].

Calugareanu, Grigore .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (09)

[4]

Calugareanu G, 2013, B MATH SOC SCI MATH, V56, P173

[5] Abelian Groups with Annihilator Ideals of Endomorphism Rings [J].

Chekhlov, A. R. .

SIBERIAN MATHEMATICAL JOURNAL, 2018, 59 (02) :363-367

[6]

Dascalescu S, 2006, APPL CATEGOR STRUCT, V14, P567, DOI [10.1007/s10485-006-9048-1, 10.1007/s10485-006-9048-l]

[7]

Fuchs L, 1973, FINITE ABELIAN GROUP, VII

[8]

Fuchs L, 1970, FINITE ABELIAN GROUP, VI

[9] REGULAR AND PRINCIPAL PROJECTIVE ENDOMORPHISM-RINGS OF MIXED ABELIAN-GROUPS [J].

GLAZ, S ;

WICKLESS, W .

COMMUNICATIONS IN ALGEBRA, 1994, 22 (04) :1161-1176

[10]

Ivanov A.V., 1982, ABELIAN GROUPS MODUL, P93

← 1 2 →