[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2008.23.3.333

ON WEAK ARMENDARIZ IDEALS

Hashemi, Ebrahim (DEPARTMENT OF MATHEMATICS SHAHROOD UNICERSITY OF TECHNOLOGY)

Publication Information

Communications of the Korean Mathematical Society / v.23, no.3, 2008 , pp. 333-342 More about this Journal

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].

Keywords

Armendariz rings; weak Armendariz rings; semicommutative rings; weakly semicommutative rings;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

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