7 papers
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…
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…
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…
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…
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}…
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)…