8 citations · 11 across the 8 of their papers we have counts for
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G-Drazin inverse and group inverse for the anti-triangular block-operator matrices
Huanyin Chen, Marjan Sheibani
We present the generalized Drazin inverse for certain anti-triangular operator matrices. Let . If and , we prove that $M=\left(…
Rings over which every matrix is the sum of two idempotents and a nilpotent
H. Chen, M. Sheibani
A ring is (strongly) 2-nil-clean if every element in is the sum of two idempotents and a nilpotent (that commute). Fundamental properties of such rings are discussed. Let $…
Feckly Adequate Conditions and Elementary Matrix Reduction
H. Chen, M. Sheibani
We present some new conditions for a Bzout ring to be an elementary divisor ring. We prove, in this note, that a Bzout ring is feckly zero-adequate if and…
Rings involving idempotents, units and nilpotent elements
Nahid Ashrafi, Marjan Sheibani, Huanyin Chen
We define the concepts of weakly precious and precious rings which generalize the notions of weakly clean and nil-clean rings. We obtain some fundamental properties of these rings.…
Extensions of square stable range one
Huanyin Chen, Marjan Sheibani
An ideal of a ring is square stable if with and implies that is invertible in for some . We prove that an exchange ideal $I…
Uniquely weakly nil-clean conditions on zero-divisors
H. Chen, M. Sheibani
An element in a ring is called uniquely weakly nil-clean if every element in can be uniquely written as a sum or a difference of a nilpotent and an idempotent in the sense…