Y. Kurtulmaz

activity

20122022

most citedDuo property for rings by the quasinilpotent perspective

2 citations · 5 across the 6 of their papers we have counts for

collaborators

6 papers

math.RA2022

Strongly Rad-clean Matrices over Commutative Local Rings

Huanyin Chen, Handan Kose, Yosum Kurtulmaz

An element $a \in R$ is provided that there exists an idempotent $e \in R$ such that $a - e \in U (R), a e = e a$ and $e a e \in J (e R e)$ . In this article, we investigate strongly rad-clean matr…

math.RA2021★ 2 cited

Duo property for rings by the quasinilpotent perspective

Abdullah Harmanci, Yosum Kurtulmaz, Burcu Ungor

In this paper, we focus on the duo ring property via quasinilpotent elements which gives a new kind of generalizations of commutativity. We call this kind of ring qnil-duo. Firstly…

math.RA2020

Rings in which elements are a sum of a central and a nilpotent element

Yosum Kurtulmaz, Abdullah Harmancı

In this paper, we introduce a new class of rings whose elements are a sum of a central element and a nilpotent element, namely, a ring $R$ is called $C N$ if each element $a$ of $R$ …

math.RA2018★ 2 cited

Reflexivity of Rings via Nilpotent Elements

Abdullah Harmanci, Handan Kose, Yosum Kurtulmaz +1

An ideal $I$ of a ring $R$ is called left N-reflexive if for any $a \in$ nil $(R)$ , $b \in R$ , being $a R b \subseteq I$ implies $b R a \subseteq I$ where nil $(R)$ is the set of all nilpo…

math.RA2013★ 1 cited

Strongly clean triangular matrix rings with endomorphisms

H. Chen, H. Kose, Y. Kurtulmaz

A ring $R$ is strongly clean provided that every element in $R$ is the sum of an idempotent and a unit that commutate. Let $T_{n} (R, σ)$ be the skew triangular matrix ring over a loca…

math.RA2012

Dual $π$ -Rickart Modules

Burcu Ungor, Yosum Kurtulmaz, Sait Halıcıoglu +1

Let $R$ be an arbitrary ring with identity and $M$ a right $R$ -module with $S =$ End $_{R} (M)$ . In this paper we introduce dual $π$ -Rickart modules as a generalization of $π$ -regular…