Mohamed Louzari

most citedOre Extensions of Extended Symmetric and Reversible Rings

11 citations · 18 across the 4 of their papers we have counts for

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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.…

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

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