5 citations · 7 across the 6 of their papers we have counts for
6 papers
Rings whose Non-Invertible Elements are Strongly Nil-Clean
Peter Danchev, Omid Hasanzadeh, Arash Javan +1
We consider in-depth and characterize in certain aspects those rings whose non-units are strongly nil-clean in the sense that they are a sum of commuting nilpotent and idempotent.…
Rings with Quasinilpotent for Each Unit
Peter Danchev, Arash Javan, Omid Hasanzadeh +1
We define and explore in-depth the notion of {\it UQ rings} by showing their important properties and by comparing their behavior with that of the well-known classes of UU rings an…
Rings Whose Clean Elements Are Uniquely Strongly Clean
Peter Danchev, Omid Hasanzadeh, Ahmad Moussavi
We define the class of {\it CUSC} rings, that are those rings whose clean elements are uniquely strongly clean. These rings are a common generalization of the so-called {\it USC} r…
Rings Whose Clean and Nil-Clean Elements Have Some Clean-Like Properties
Peter Danchev, Arash Javan, Ahmad Moussavi
We define two types of rings, namely the so-called CSNC and NCUC that are those rings whose clean elements are strongly nil-clean, respectively, whose nil-clean elements are unique…
Polynomial extensions of cP-Baer rings
Nasibeh Aramideh, Ahmad Moussavi
Birkenmeier and Heider, in [2], say that a ring R is right cP-Baer if the right annihilator of a cyclic projective right R-module in R is generated by an idempotent. These rings ar…
Strong resolving graph of the intersection graph in commutative rings
E. Dodongeh, A. Moussavi, R. Nikandish
The intersection graph of ideals associated with a commutative unitary ring is the graph whose vertices all non-trivial ideals of and there exists an edge between di…