15 papers
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…
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…
Weakly Rings
Zari Vesali Mahmood, Ahmad Moussavi, Peter Danchev
We introduce and study the so-called {\it weakly rings} (hereafter abbreviated as {\it rings} for short), in which every unit is of the form or …
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…
Unit Uniquely Clean Rings
Mina Doostalizadeh, Ahmad Moussavi, Peter Danchev
We define the class of {\it unit uniquely clean} rings ({\it UnitUC} for short), that is a common generalization of uniquely clean rings and strongly nil clean rings. Abelian {\it…
Rings Whose Units Have Identity Plus Quasi-Nilpotent Square
Shahram Najafi, Ahmad Moussavi, Peter Danchev
In this paper, we investigate the structural and characterizing properties of the so-called {\it 2-UQ rings}, that are rings such that the square of every unit is the sum of an ide…