2018
Том 70
№ 9

# Weak $\alpha$-skew Armendariz ideal

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.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 3, pp 456-469.

Citation Example: Nikmehr M. J., Pazoki M., Tavallaee H. A. Weak $\alpha$-skew Armendariz ideal // Ukr. Mat. Zh. - 2012. - 64, № 3. - pp. 404-414.

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