A. Moussavi

collaborators

3 papers

math.RA2025

Unit Uniquely Clean Rings

Mina Doostalizadeh, Ahmad Moussavi, Peter Danchev

We define the class of {\it unit uniquely clean} rings ({\it UnitUC} for short), that is a common generalization of uniquely clean rings and strongly nil clean rings. Abelian {\it…

math.RA2025

Generalizing Semi- $n$ -Potent Rings

Arash Javan, Ahmad Moussavi, Peter Danchev

We define and explore the class of rings $R$ for which each element in $R$ is a sum of a tripotent element from $R$ and an element from the subring $Δ (R)$ of $R$ which commute each…

math.RA2025

Rings with 2- $Δ$ U property

Omid Hasanzadeh, Ahmad Moussavi, Peter Danchev

Rings in which the square of each unit lies in $1 + Δ (R)$ , are said to be $2$ - $Δ U$ , where $J (R) \subseteq Δ (R) =: {r \in R ∣ r + U (R) \subseteq U (R)}$ . The set $Δ (R)$ is the largest…

Unit Uniquely Clean Rings

Generalizing Semi-n-Potent Rings

Rings with 2-ΔU property

Generalizing Semi- $n$ -Potent Rings

Rings with 2- $Δ$ U property