8 citations · 16 across the 27 of their papers we have counts for
Showing 2014 · math.RAShow all
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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 of a ring is square stable if with and implies that is invertible in for some . 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 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…