Marjan Sheibani

most citedRings involving idempotents, units and nilpotent elements

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.RA2015

Feckly Adequate Conditions and Elementary Matrix Reduction

H. Chen, M. Sheibani

We present some new conditions for a B $e ˊ$ zout ring to be an elementary divisor ring. We prove, in this note, that a B $e ˊ$ zout ring $R$ is feckly zero-adequate if and…

math.RA2014★ 2 cited

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.…

math.RA2014

Extensions of square stable range one

Huanyin Chen, Marjan Sheibani

An ideal $I$ of a ring $R$ is square stable if $a R + b R = R$ with $a \in I$ and $b \in R$ implies that $a^{2} + b y$ is invertible in $I$ for some $y \in I$ . We prove that an exchange ideal $I…

math.RA2014

Uniquely weakly nil-clean conditions on zero-divisors

H. Chen, M. Sheibani

An element in a ring $R$ is called uniquely weakly nil-clean if every element in $R$ can be uniquely written as a sum or a difference of a nilpotent and an idempotent in the sense…