A. Moussavi

activity

20232026

u - 1

Quasinilpotent for Each Unit

u

5 citations · 7 across the 24 of their papers we have counts for

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5 papers · 1 filter

math.RA2026

$Δ$ -Fine Rings

Peter Danchev, Omid Hasanzadeh, Ahmad Moussavi +1

We introduce and study the so-termed {\it $Δ$ -fine rings}, a new class of rings that generalizes the classical {\it fine rings} introduced by Călugăreanu-Lam in J. Algebra \&…

math.RA2026

Expanding Generalized Fine Rings

Ahmad Moussavi, Peter Danchev, Arash Javan +1

We introduce and study the so-called {\it generalized $J$ -fine rings}, where every element outside the Jacobson radical is the sum of a unit and an element from the set $\sq…

math.RA2026

A Generalization of $Δ$ 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 $Δ U$ -rings}, hereafter abbreviated as {\it $W Δ U$ -rings} for short. A ring $R$ is said to be $WΔU…

math.RA2026

Weakly $J U$ Rings

Zari Vesali Mahmood, Ahmad Moussavi, Peter Danchev

We introduce and study the so-called {\it weakly $J U$ rings} (hereafter abbreviated as {\it $W J U$ rings} for short), in which every unit is of the form $j + 1$ or $j - 1$ …

math.RA2026

Rings whose Non-Units are a Unit Multiple of an Element from $Δ (R)$

Omid Hasanzadeh, Ahmad Moussavi, Peter Danchev

This paper introduces and studies a new class of rings called {\it $U Δ$ -rings}. A ring $R$ is $U Δ$ if every non-unit element can be written as the product of a unit and a…

Δ​-Fine Rings

Expanding Generalized Fine Rings

A Generalization of ΔU Rings

Weakly J​U Rings

Rings whose Non-Units are a Unit Multiple of an Element from Δ(R)​

$Δ$ -Fine Rings

A Generalization of $Δ$ U Rings

Weakly $J U$ Rings

Rings whose Non-Units are a Unit Multiple of an Element from $Δ (R)$