Yazar "Agayev, Nazım" için listeleme
-
Abelian Modules
Agayev, Nazım; Harmancı, Abdullah; Halıcıoğlu, Sait; Güngöroğlu, Gonca (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. ... -
Central Armendariz Rings
Agayev, Nazım; Güngöroğlu, Gonca; Harmancı, Abdullah; Halıcıoğlu, Sait (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 ... -
Endo-principally Projective Modules
Üngör, Burcu; Agayev, Nazım; Halıcıoğlu, Sait; Harmancı, Abdullah (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. ... -
Extended Armendariz Rings
Agayev, Nazım; Harmancı, Abdullah; Halıcıoğlu, Sait (Algebras Groups Geom., 2013)In this note we introduce central linear Armendariz rings as a generalization of Armendariz rings and investigate their properties -
On a Class of Semicommutative Modules
Agayev, Nazım; Özen, Tahire; Harmancı, Abdullah (Springer, 2009)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 a Class of Semicommutative Rings
Özen, Tahire; Agayev, Nazım; Harmancı, Abdullah (Department of Mathematics, Kyungpook National University, 2011)In this paper, a generalization of the class of semicommutative rings is inves- tigated. A ring R is called central semicommutative if for any a; b 2 R, ab = 0 implies arb is a central element of R for each r 2 R. We ... -
On Abelian Rings
Agayev, Nazım; Harmancı, Abdullah; Halıcıoğlu, Sait (TÜBİTAK, 2010)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
Üngör, Burcu; Agayev, Nazım; Halıcıoğlu, Sait; Harmancı, Abdullah (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 ... -
On Reduced and Semicommutative Modules
Başer, Muhittin; Agayev, Nazım (TÜBİTAK, 2006)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 Rickart Modules
Agayev, Nazım; Halıcıoğlu, Sait; Harmancı, Abdullah (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 Semicommutative Modules and Rings
Agayev, Nazım; Harmancı, Abdullah (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 Symmetric Modules
Agayev, Nazım; Halıcıoğlu, Sait; Harmancı, Abdullah (Rivista di Matematica della Università di Parma, 2009)[No Abstract Available]
