Mohamed Louzari

activity

20072026

most citedOre Extensions of Extended Symmetric and Reversible Rings

11 citations · 22 across the 11 of their papers we have counts for

collaborators

Showing math.RAShow all

10 papers · 1 filter

math.RA2023★ 3 cited

Generalized rigid modules and their polynomial extensions

Mohamed Louzari, Armando Reyes

Let $R$ be a ring with unity, $σ$ an endomorphism of $R$ and $M_{R}$ a right $R$ -module. In this paper, we continue studding $σ$ -rigid modules that were introduced by Gunner et al. \…

math.RA2023

On pseudo-Hermitian quadratic nilpotent Lie algebras

Mustapha Bachaou, Ignacio Bajo, Mohamed Louzari

We study nilpotent Lie algebras endowed with a complex structure and a quadratic structure which is pseudo-Hermitian for the given complex structure. We propose several methods to…

math.RA2017

On $(σ, δ)$ -skew McCoy modules

Mohamed Louzari, L'moufadal Benyakoub

Let $(σ, δ)$ be a quasi derivation of a ring $R$ and $M_{R}$ a right $R$ -module. In this paper, we introduce the notion of $(σ, δ)$ -skew McCoy modules which extends the notion of McCoy…

math.RA2015

Skew polynomial rings over abelian and idempotent reflexive rings

Mohamed Louzari

Let $R$ be a ring and $σ$ an endomorphism of $R$ . In this note, we study skew polynomial rings and skew power series rings over idempotent reflexive rings and abelian rings. Also,…

math.RA2012

On McCoy Condition and Semicommutative Rings

Mohamed Louzari

Let $R$ be a ring, $σ$ an endomorphism of $R$ , $I$ a right ideal in $S = R [x; σ]$ and $M_{R}$ a right $R$ -module. We give a generalization of McCoy's Theorem \cite{mccoy}, by showing th…

math.RA2011★ 1 cited

On Skew Polynomials over p.q.-Baer and p.p.-Modules

Mohamed Louzari

Let $M_{R}$ be a module and $σ$ an endomorphism of $R$ . Let $m \in M$ and $a \in R$ , we say that $M_{R}$ satisfies the condition $C_{1}$ (respectively, $C_{2}$ ), if $ma=0…

math.RA2009

A note on $σ$ -reversibility and $σ$ -symmetry of skew power series rings

Mohamed Louzari, L'moufadal Ben Yakoub

Let $R$ be a ring and $σ$ an endomorphism of $R$ . In this note, we study the transfert of the symmetry ( $σ$ -symmetry) and reversibility ( $σ$ -reversibility) from $R$ to its skew pow…

math.RA2007★ 11 cited

Ore Extensions of Extended Symmetric and Reversible Rings

Mohamed Louzari, L'moufadal Ben Yakoub

Let $σ$ be an endomorphism and $δ$ an $σ$ -derivation of a ring $R$ . In this paper, we show that if $R$ is $(σ, δ)$ -skew Armendariz and $aσ (b) = 0$ implies $ab = 0$ for $a, b \in R$ . Then…

math.RA2007★ 2 cited

Ore extensions of principally quasi-Baer rings

Mohamed Louzari, L'moufadal Ben Yakoub

Let $R$ be a ring and $(σ, δ)$ a quasi-derivation of $R$ . In this paper, we show that if $R$ is an $(σ, δ)$ -skew Armendariz ring and satisfies the condition $(C_{σ})$ , then $…

math.RA2007★ 5 cited

On quasi-Baer rings of Ore extensions

Mohamed louzari, L'moufadal Ben Yakoub

Let $R$ be a ring and $S = R [x; σ, δ]$ its Ore extension. We prove under some conditions that $R$ is a quasi-Baer ring if and only if the Ore extension $R [x; σ, δ]$ is a quasi-Baer ring.…

Generalized rigid modules and their polynomial extensions

On pseudo-Hermitian quadratic nilpotent Lie algebras

On (σ,δ)-skew McCoy modules

Skew polynomial rings over abelian and idempotent reflexive rings

On McCoy Condition and Semicommutative Rings

On Skew Polynomials over p.q.-Baer and p.p.-Modules

A note on σ-reversibility and σ-symmetry of skew power series rings

Ore Extensions of Extended Symmetric and Reversible Rings

Ore extensions of principally quasi-Baer rings

On quasi-Baer rings of Ore extensions

On $(σ, δ)$ -skew McCoy modules

A note on $σ$ -reversibility and $σ$ -symmetry of skew power series rings