1 citations · 1 across the 3 of their papers we have counts for
27 papers
Expanding Generalized Fine Rings
Ahmad Moussavi, Peter Danchev, Arash Javan +1
We introduce and study the so-called {\it generalized -fine rings}, where every element outside the Jacobson radical is the sum of a unit and an element from the set $\sq…
Rings Whose Non-Invertible Elements Are Uniquely Strongly Clean
Peter Danchev, Mehrdad Esfandiar, Omid Hasanzadeh
We define and investigate in details the class of so-termed {\it GUSC} rings, that are those rings whose non-invertible elements are uniquely strongly clean. These rings are a comm…
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 with Clean-Like Properties: Endomorphism, Matrix and Structural Theorems
Adel N. Abyzov, Andrey R. Chekhlov, Peter V. Danchev +1
We investigate three clean-like properties for arbitrary rings, for endomorphism rings of abelian groups and for matrix rings over finite fields. Specifically, we study and establi…
A Generalization of U Rings
Peter Danchev, Omid Hasanzadeh, Ahmad Moussavi +1
In this paper, we introduce and study a new class of rings calling them {\it weakly -rings}, hereafter abbreviated as {\it -rings} for short. A ring is said to be $W…
Hereditarily and Super Bassian Modules over Certain Rings
Peter Vassilev Danchev, Truong Cong Quynh, Jan ŽemliÄka
We characterize in certain basic cases when a module over a ring is either {\it hereditarily Bassian} or {\it super Bassian} in the sense that either each its proper submodule is B…