Now showing items 1-5 of 5
(Faculty of Mathematics, Physics and Informatics Comenius University, 2009)
In this note, we introduce abelian modules as a generalization of abelian rings. Let R be an arbitrary ring with identity. A module M is called abelian if, for any m 2 M and any a 2 R, any idempotent e 2 R, mae = mea. ...
On Symmetric Modules
(Rivista di Matematica della Università di Parma, 2009)
[No Abstract Available]
On Semicommutative Modules and Rings
(Department of Mathematics at Kyungpook National University, 2007)
We say a module MR a semicommutative module if for any m 2 M and any a 2 R, ma = 0 implies mRa = 0. This paper gives various properties of reduced, Armendariz, Baer, Quasi-Baer, p:p: and p:q:-Baer rings to extend to ...
On Reduced and Semicommutative Modules
In this paper, various results of reduced and semicommutative rings are extended to reduced and semicommutative modules. In particular, we show: (1) For a principally quasi-Baer module, MR is semicommutative if and only ...
On a Class of Semicommutative Modules
Let R be a ring with identity,M a right R-module and S = EndR(M). In this note, we introduce S-semicommutative, S-Baer, S-q.-Baer and S-p.q.-Baer modules. We study the relations between these classes of modules. Also we ...