  Let $R$ be a ring and $\sigma$ an endomorphism of $R$. In this note, we study
skew polynomial rings and skew power series rings over idempotent reflexive
rings and abelian rings. Also, we introduce the concept of right (resp., left)
$\sigma$-idempotent reflexive rings which generalizes right (resp., left)
idempotent reflexive rings and $\sigma$-abelian rings. Certain results are
obtained as corollaries from our results.
