Now showing items 1-10 of 12
Endo-principally Projective Modules
(Institute of Mathematics, Faculty of Science, University of Novi Sad, 2013)
Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). In this paper, we introduce a class of modules that is a generalization of principally projective (or simply p.p.) rings and Baer modules. ...
Central Armendariz Rings
(Bulletein of the Malaysian Mathematical Sciences Society, 2011)
We introduce the notion of central Armendariz rings which are a generalization of Armendariz rings and investigate their properties. We show that the class of central Armendariz rings lies strictly between classes of ...
(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. ...
Extended Armendariz Rings
(Algebras Groups Geom., 2013)
In this note we introduce central linear Armendariz rings as a generalization of Armendariz rings and investigate their properties
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 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 ...
On Rickart Modules
(Iranian Mathematical Society, 2012)
We investigate some properties of Rickart modules defined by Rizvi and Roman. Let R be an arbitrary ring with identity and M be a right R-module with S = EndR(M). A module M is called to be Rickart if for any f 2 S, ...
On Abelian Rings
Let α be an endomorphism of an arbitrary ring R with identity. In this note, we introduce the notion of α-abelian rings which generalizes abelian rings. We prove that α-reduced rings, α-symmetric rings, α-semicommutative ...
On Principally Quasi-Baer Modules
(Aulona Press, 2011)
Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). In this paper, we introduce a class of modules that is a generalization of principally quasi-Baer rings and Baer modules. The mod- ule ...