5 citations · 7 across the 19 of their papers we have counts for
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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…
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…
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…
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…