On perspective Abelian groups

被引:0
作者
Calugareanu, Grigore [1 ]
Chekhlov, Andrey [2 ]
机构
[1] Babes Bolyai Univ, Dept Math, Cluj Napoca 400084, Romania
[2] Tomsk State Univ, Fac Mech & Math, Dept Math, Tomsk, Russia
关键词
Abelian group; perspective module; primary group; torsion-free group;
D O I
10.1080/00927872.2025.2459872
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper discusses perspective Abelian groups, defined as groups where isomorphic summands have a common complement. This concept is derived from the broader context of perspective R-modules. The paper explores various classes of these groups, providing characterizations and examples.
引用
收藏
页码:3418 / 3429
页数:12
相关论文
共 9 条
[1]   Abelian groups with normal endomorphism rings [J].
Chekhlov, A. R. .
ALGEBRA AND LOGIC, 2009, 48 (04) :298-308
[2]  
Fuchs L., 1973, PURE APPL MATH, V2, p36
[3]  
Fuchs L., 1970, Infinite abelian groups, V36
[4]   Perspective rings [J].
Garg, Shelly ;
Grover, Harpreet K. ;
Khurana, Dinesh .
JOURNAL OF ALGEBRA, 2014, 415 :1-12
[5]  
Goodearl K. R., 1991, VONNEUMANN REGULAR R
[6]   Rings with internal cancellation [J].
Khurana, D ;
Lam, TY .
JOURNAL OF ALGEBRA, 2005, 284 (01) :203-235
[7]  
Krylov P. A., 2003, ALGEBRAS APPL, V2
[8]   A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE [J].
Lam, T. Y. .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2004, 3 (03) :301-343
[9]  
Schmidt R., 1994, SUBGROUP LATTICES GR, V14