M. Pazoki
Karaj Branch, Islamic Azad Univ., Karaj, Iran
H. A. Tavallaee
Karaj Branch, Islamic Azad Univ., Karaj, Iran
Abstract
We introduce the concept of weak $\alpha$-skew Armendariz ideals and investigate their properties. Moreover, we prove that $I$ is a weak $\alpha$-skew Armendariz ideal if and only if $I[x]$ is a weak $\alpha$-skew Armendariz ideal. As a consequence, we show that $R$ is a weak $\alpha$-skew Armendariz ring if and only if $R[x]$ is a weak $\alpha$-skew Armendariz ring.
