5 citations · 7 across the 24 of their papers we have counts for
11 papers · 1 filter
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…
Weakly Strongly 2-Nil-Clean Rings
Peter Danchev, Mina Doostalizadeh, Ahmad Moussavi
In this paper, we introduce and explore in-depth the notion of {\it weakly strongly 2-nil-clean rings} as a common non-trivial generalization of both strongly 2-nil-clean rings and…
On Rings with the 2-UNJ Property
Zari Vesali Mahmood, Ahmad Moussavi, Peter Danchev
In this paper, we introduce a new class of rings calling them {\it 2-UNJ rings}, which generalize the well-known 2-UJ, 2-UU and UNJ rings. Specifically, a ring is called 2-UNJ…
Rings Whose Non-Units are Square-Nil Clean
Mina Doostalizadeh, Ahmad Moussavi, Peter Danchev
We consider in-depth and characterize in certain aspects the class of so-called {\it strongly NUS-nil clean rings}, that are those rings whose non-units are {\it square nil-clean}…
On Strongly -Clean Rings
Ahmad Moussavi, Peter Danchev, Arash Javan +1
This study explores in-depth the structure and properties of the so-called {\it strongly -clean rings}, that is a novel class of rings in which each ring element decomposes into…
A New Characterization of Semi-Tripotent Rings
Ahmad Moussavi, Peter Danchev, Arash Javan +1
We give a comprehensive study of the so-called \textit{semi-tripotent rings} obtaining their new and non-trivial characterization as well as a complete description in terms of sums…
Rings Whose Non-Invertible Elements are Strongly Weakly Nil-Clean
Peter Danchev, Mina Doostalizadeh, Omid Hasanzadeh +2
The target of the present work is to give a new insight in the theory of {\it strongly weakly nil-clean} rings, recently defined by Kosan and Zhou in the Front. Math. China (2016)…
Rings in which all elements are the sum of a central element and an element from
Peter Danchev, Arash Javan, Omid Hasanzadeh +1
We define and consider in-depth the so-called rings as those rings whose elements are a sum of an element in and of an element in . Our achieved results somew…
Generalizing Semi--Potent Rings
Arash Javan, Ahmad Moussavi, Peter Danchev
We define and explore the class of rings for which each element in is a sum of a tripotent element from and an element from the subring of which commute each…
Rings with 2-U property
Omid Hasanzadeh, Ahmad Moussavi, Peter Danchev
Rings in which the square of each unit lies in , are said to be -, where . The set is the largest…