6 papers
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 such that, for each unit , belongs to the
Peter Danchev, Arash Javan, Omid Hasanzadeh +2
We study in-depth those rings for which, there exists a fixed , such that lies in the subring of for every unit . We succeeded to describe f…