Mehrdad Esfandiar

most citedRings Whose Non-Invertible Elements Are Uniquely Strongly Clean

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.RA2026★ 1 cited

Rings Whose Non-Invertible Elements Are Uniquely Strongly Clean

Peter Danchev, Mehrdad Esfandiar, Omid Hasanzadeh

We define and investigate in details the class of so-termed {\it GUSC} rings, that are those rings whose non-invertible elements are uniquely strongly clean. These rings are a comm…

math.RA2026

A Generalization of $I^$ U Rings

Peter Danchev, Omid Hasanzadeh, Ahmad Moussavi +1

In this paper, we introduce and study a new class of rings calling them {\it weakly $I^ U$ -rings}, hereafter abbreviated as {\it $W I^ U$ -rings} for short. A ring $R$ is said to be $W…

math.RA2025

Rings Such That $u - 1$ Lies In $J^{#} (R)$ For Each Unit $u$

Peter Danchev, Mina Doostalizadeh, Mehrdad Esfandiar +1

We investigate the so-called {\it $U J^{#}$ rings}, a new type of rings in which every unit can be written as $1 + j$ with $j \in J^{#} (R)$ . These rings were defined and studied by S…

math.RA2025

On Strongly $ J^{\#} $-Clean Rings

Peter Danchev, Gholamreza Karamali, Omid Hasanzadeh +1

We define and examine the class of {\it strongly $ J^{\#} $-clean rings} consisting of those rings $R$ such that each element of $R$ is the sum of an idempotent from $R$ and an e…

Rings Whose Non-Invertible Elements Are Uniquely Strongly Clean

A Generalization of I^U Rings

Rings Such That u−1 Lies In J#(R) For Each Unit u

On Strongly \( J^{\#} \)-Clean Rings

A Generalization of $I^$ U Rings

Rings Such That $u - 1$ Lies In $J^{#} (R)$ For Each Unit $u$