- ON WEAK ARMENDARIZ IDEALS
- Hashemi, Ebrahim ;
- Communications of the Korean Mathematical Society, volume 23, issue 3, 2008, Pages 333~342
- DOI : 10.4134/CKMS.2008.23.3.333

Abstract

We introduce weak Armendariz ideals which are a generalization of ideals have the weakly insertion of factors property (or simply weakly IFP) and investigate their properties. Moreover, we prove that, if I is a weak Armendariz ideal of R, then I[x] is a weak Armendariz ideal of R[x]. As a consequence, we show that, R is weak Armendariz if and only if R[x] is a weak Armendariz ring. Also we obtain a generalization of [8] and [9].