2 citations · 6 across the 8 of their papers we have counts for
8 papers
m-weak group inverse in a ring with proper involution
Huanyin Chen
The m-weak group inverse was recently studied in the literature. The purpose of this paper is to investigate new properties of this generalized inverse for ring elements. We introd…
A Generalization of Reflexive Rings
M. B. Calci, H. Chen, S. Halicioglu
In this paper, we introduce a class of rings which is a generalization of reflexive rings and -reversible rings. Let be a ring with identity and denote the Jacobson r…
Factorizations of Matrices Over Projective-free Rings
H. Chen, H. Kose, Y. Kurtulmaz
An element of a ring is called strongly -clean provided that it can be written as the sum of an idempotent and an element in that commute. We characterize,…
On feckly clean rings
H. Chen, H. Kose, Y. Kurtulmaz
A ring is feckly clean provided that for any there exists an element and a full element such that . We prove that a rin…
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…