Different and distinct notions of regularity for modules exist in the literature. When these
notions are restricted to commutative rings, they all coincide with the well-known von …

Let R be a ring with unity, σ an endomorphism of R and M_R a right R-module. In this paper,
we study some connections between rigid, σ-rigid, semicommutative, σ-semicommutative …

A relationship between nilpotency and primeness in a module is investigated. Reduced
modules are expressed as sums of prime modules. It is shown that presence of nilpotent …

In this paper, we introduce the notion of weak Armendariz module as a generalization of the
notion of an Armendariz module and investigate properties of such modules. We prove that if …

A ring R is said to be semi-commutative if whenever a, b∈ R such that ab= 0, then aRb= 0.
In this article, we introduce the concepts of g− semi-commutative rings and g− N− semi …

In this paper we have introduced the notion of weak reduced module and weak rigid module
as the generalizations of reduced module by working on the context of nilpotent elements of …

In this paper, we introduce weakly semicommutative modules as a generalization of
semicommutative modules and study their properties. We prove that if a left R-module M is …

It is known that a direct summand of a (D₁₂)-module need not be a (D₁₂)-module. In this
paper we establish some properties of completely (D₁₂)-modules (modules for which …

Tez özet, abstract, giriş, temel tanımlar ve üç ana başlıktan oluşmaktadır. Birinci bölüm"
Giriş", ikinci bölüm" Temel Tanımlar", üçüncü bölüm" Yarı İndirgenmiş Halkalar", dördüncü …