%0 Journal Article
%T A note on $¦Ò$-reversibility and $¦Ò$-symmetry of skew power series rings
%A Mohamed Louzari
%A L'moufadal Ben Yakoub
%J Mathematics
%D 2009
%I arXiv
%X Let $R$ be a ring and $\sigma$ an endomorphism of $R$. In this note, we study the transfert of the symmetry ($\sigma$-symmetry) and reversibility ($\sigma$-reversibility) from $R$ to its skew power series ring $R[[x;\sigma]]$. 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 $R[[x;\sigma]]$ in case $R$ is right $\sigma$-reversible. As a consequence we obtain a generalization of \cite{hong/2000}.
%U http://arxiv.org/abs/0902.3992v1