3 papers
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 $WΔU…
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…
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 such that each element of is the sum of an idempotent from and an e…