2 citations · 3 across the 4 of their papers we have counts for
4 papers
On Zhou nil-clean rings
Marjan Sheibani Abdolyousefi, Nahid Ashrafi, Huanyin Chen
A ring R is a Zhou nil-clean ring if every element in R is the sum of two tripotents and a nilpotent that commute. In this paper, Zhou nil-clean rings are further discussed with an…
Refinement rings, localization and diagonal reduction of matrices
Nahid Ashrafi, Rahman Bahmani Sangesari, Marjan Sheibani
In this paper we prove that if is a commutative refinement ring and , are two -modules then, if and only if for every maximal ideal of , $M_m\cong N…
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.…
r-clean rings
Nahid Ashrafi, Ebrahim Nasibi
An element of a ring R is called clean if it is the sum of an idempotent and a unit. A ring R is called clean if each of its element is clean. An element r \in R called regular if…