most citedRings Whose Non-Invertible Elements Are Uniquely Strongly Clean

1 citations · 1 across the 3 of their papers we have counts for

collaborators

12 papers

math.RA2026

Expanding Generalized Fine Rings

Ahmad Moussavi, Peter Danchev, Arash Javan +1

We introduce and study the so-called {\it generalized -fine rings}, where every element outside the Jacobson radical is the sum of a unit and an element from the set $\sq…

math.RA20261 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 UQ Rings

Peter Danchev, Mina Doostalizadeh, Omid Hasanzadeh

We examine the newly defined class of {\it - rings} described by the condition that for every unit , where denotes the set of quasi-n…

math.RA2026

A Generalization of 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 -rings}, hereafter abbreviated as {\it -rings} for short. A ring is said to be $W…

math.RA2026

Rings whose Non-Units are a Unit Multiple of an Element from

Omid Hasanzadeh, Ahmad Moussavi, Peter Danchev

This paper introduces and studies a new class of rings called {\it -rings}. A ring is if every non-unit element can be written as the product of a unit and…

math.RA2025

Rings Such That Lies In For Each Unit

Peter Danchev, Mina Doostalizadeh, Mehrdad Esfandiar +1

We investigate the so-called {\it rings}, a new type of rings in which every unit can be written as with . These rings were defined and studied by S…