Yassine Ait Mohamed

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math.RA2026

Group-graded Ore extensions and graded simplicity

Yassine Ait Mohamed

We study Ore extensions $R [t; σ, δ]$ of rings graded by an arbitrary group $Γ$ . The grading of $R$ extends to a grading with $t$ homogeneous of degree $γ$ if and only if $σ$ and $δ$ …

math.RA2026

Graded differential polynomial rings

Yassine Ait Mohamed

We study differential polynomial rings $R [t; δ]$ over $Γ$ -graded rings, where $Γ$ is an arbitrary group. We show that $R [t; δ]$ admits a $Γ$ -grading compatible with that of $R$ if an…

math.RA2024

Generalized Homogeneous Derivations on Graded Rings

Yassine Ait Mohamed

We introduce a notion of generalized homogeneous derivations on graded rings as a natural extension of the homogeneous derivations defined by Kanunnikov. We then define gr-generali…