Weak $\alpha$-skew Armendariz ideal

• Date: 2012
• Main Authors: Nikmehr, M. J., Pazoki, M., Tavallaee, H. A., Нікмер, М. Дж., Пазокі, М., Таваллаее, Г. А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2585
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 Armendari...