Weak α-skew Armendariz ideals

• Published in: Український математичний журнал
• Date: 2012
• Main Authors: Nikmehr, M.J., Pazoki, M., Tavallaee, H.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164156
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Weak α-skew Armendariz ideals / H.A. Tavallaee, M.J. Nikmehr, M. Pazoki // Український математичний журнал. — 2012. — Т. 64, № 3. — С. 404-414. — Бібліогр.: 11 назв. — англ.

We introduce the concept of weak α-skew Armendariz ideals and investigate their properties. Moreover, we prove that I is a weak α-skew Armendariz ideal if and only if I[x] is a weak α-skew Armendariz ideal. As a consequence, we show that R is a weak α-skew Armendariz ring if and only if R[x] is a we...