Weak $\alpha$-skew Armendariz ideal

  • M. J. Nikmehr K. N. Toosi Univ. Technology, Iran
  • 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.
Published
25.03.2012
How to Cite
NikmehrM. J., PazokiM., and TavallaeeH. A. “Weak $\alpha$-Skew Armendariz Ideal”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 3, Mar. 2012, pp. 404-1, http://umj.imath.kiev.ua/index.php/umj/article/view/2585.
Section
Research articles