7 citations · 15 across the 13 of their papers we have counts for
6 papers · 1 filter
Rings in which every nilpotent is central
Burcu Ungor, Sait Halicioglu, Handan Kose +1
In this paper, we introduce a class of rings in which every nilpotent element is central. This class of rings generalizes so-called reduced rings. A ring is called {\it central…
Strongly Clean Matrices over Commutative Rings
H. Chen, H. Kose, Y. Kurtulmaz
A commutative ring is projective free provided that every finitely generated -module is free. An element in a ring is strongly clean provided that it is the sum of an idempo…
Uniquely Strongly Clean Triangular Matrix Rings
H. Chen, O. Gurgun, H. Kose
A ring is uniquely (strongly) clean provided that for any there exists a unique idempotent such that . Let be a uniquel…
On Perfectly Clean Rings
H. Chen, S. Halicioglu, H. Kose
An element of a ring is called perfectly clean if there exists an idempotent such that . A ring is perfectly clean in case every element i…
Strongly clean triangular matrix rings with endomorphisms
H. Chen, H. Kose, Y. Kurtulmaz
A ring is strongly clean provided that every element in is the sum of an idempotent and a unit that commutate. Let be the skew triangular matrix ring over a loca…
The strong -cleanness over rings
Huanyin Chen, H. Kose, Y. Kurtulmaz
An element of a ring is strongly -clean provided that it can be written as the sum of an idempotent and a strongly nilpotent element that commute. A ring is strongly …