Ore extensions satisfying a polynomial identity

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dc.creatorLeroy, A.
dc.creatorMatczuk, J.
dc.date2007-07-02
dc.date.accessioned2026-07-07T08:13:29Z
dc.date.available2026-07-07T08:13:29Z
dc.descriptionNecessary and sufficient conditions for an Ore extension $S=R[x;\si,\de]$ to be a {\rm PI} ring are given in the case $\si$ is an injective endomorphism of a semiprime ring $R$ satisfying the {\rm ACC} on annihilators. Also, for an arbitrary endomorphism $τ$ of $R$, a characterization of Ore extensions $R[x;τ]$ which are {\rm PI} rings is given, provided the coefficient ring $R$ is noetherian.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0707.0173
dc.identifierhttp://arxiv.org/abs/0707.0173
dc.identifierJournal of Algebra and Its Applications 5 No.3 (2006), pp.287-306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132786
dc.subjectRings and Algebras
dc.subject16S36; 16R20
dc.titleOre extensions satisfying a polynomial identity
dc.typetext

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