Yazar "Halıcıoğlu, Sait" 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

Modules Which are Reduced Over Their Endomorphism Rings

Aghayev, Nazım; Halıcıoğlu, Sait; Harmancı, Abdullah; Üngör, Burcu (The Mathematical Association of Thailand, 2015)

Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). The module M is called reduced if for any m ∈ M and f ∈ S, fm = 0 implies fM ∩ Sm = 0. In this paper, we investigate properties of ...

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 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, ...