5 citations · 11 across the 38 of their papers we have counts for
8 papers · 2 filters
-Fine Rings
Peter Danchev, Omid Hasanzadeh, Ahmad Moussavi +1
We introduce and study the so-termed {\it -fine rings}, a new class of rings that generalizes the classical {\it fine rings} introduced by Călugăreanu-Lam in J. Algebra \&…
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…
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 $WΔU…
Hereditarily and Super Bassian Modules over Certain Rings
Peter Vassilev Danchev, Truong Cong Quynh, Jan Žemlička
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…
Weakly Rings
Zari Vesali Mahmood, Ahmad Moussavi, Peter Danchev
We introduce and study the so-called {\it weakly rings} (hereafter abbreviated as {\it rings} for short), in which every unit is of the form or …
Rings whose Non-Units are a Unit Multiple of an Element from
Omid Hasanzadeh, Ahmad Moussavi, Peter Danchev
This paper introduces and studies a new class of rings called {\it -rings}. A ring is if every non-unit element can be written as the product of a unit and a…