Classes of Armendariz Rings

Abstract

Let R be associative ring with a non zero identity and R[x] be the polynomial ring over R.In [E.P74] Armendariz, E.P studied Armendariz rings. Many outhors have investigated many properties of Armendariz rings. In this thesis we introduce and prove several results concerning Armendariz rings and study their relation with abelian , reduced and McCoy rings, we also study some classes of Armendariz rings such as (central, weak, central linear, Almost and π - ) Armendariz rings and investigate the relation between them.