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

Louzari, Mohamed; Yakoub, L'moufadal Ben

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

Authors

Description

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 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}.
8