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

dc.creatorLouzari, Mohamed
dc.creatorYakoub, L'moufadal Ben
dc.date2009-02-23
dc.date.accessioned2026-07-07T12:49:33Z
dc.date.available2026-07-07T12:49:33Z
dc.descriptionLet $R$ 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 power series ring $R[[x;σ]]$. Moreover, we study on the relationship between the Baerness, quasi-Baerness and p.p.-property of a ring $R$ and these of the skew power series ring $R[[x;σ]]$ in case $R$ is right $σ$-reversible. As a consequence we obtain a generalization of \cite{hong/2000}.
dc.description8
dc.identifierhttps://arxiv.org/abs/0902.3992
dc.identifierhttp://arxiv.org/abs/0902.3992
dc.identifierInternational Journal of Algebra, Vol. 3, 2009, no. 9, 435 - 442
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222441
dc.subjectRings and Algebras
dc.subject16S36; 16W20; 16U80
dc.titleA note on $σ$-reversibility and $σ$-symmetry of skew power series rings
dc.typetext

Files

Collections