Title of article :
Weak (a,d)-skew Armendariz ideals
Author/Authors :
Majdabadi Farahani, A. R Department of Mathematics - Karaj Branch - Islamic Azad University , Heydari, F Department of Mathematics - Karaj Branch - Islamic Azad University , Tavallaee, H. A Department of Mathematics - Karaj Branch - Islamic Azad University , Maghasedi, M Department of Mathematics - Karaj Branch - Islamic Azad University
Abstract :
In this paper, we continue to study properties of skew polynomial ring R½x; a; d, where R is an associative ring equipped
with an endomorphism a and an a-derivation d. We first introduce weak (a; d)-skew Armendariz ideals, a generalization of
(a; d)-compatible ideals have the insertion of factors property (or simply, IFP). We also prove that if J is a weak (a; d)-skew
Armendariz ideal of R, then J[x] is a weak (a; d)-skew Armendariz ideal of R[x].
Keywords :
(a - d)-Skew Armendariz , Weak Armendariz rings , Weak (a - d)-skew
Journal title :
Astroparticle Physics
