ON ARMENDARIZ RING AND ITS GENERALIZATIONS

H. Pourtaherian (Malaysia) and I. S. Rakhimov (Malaysia)

Received September 25, 2009

Abstract

The paper deals with Armendariz rings, and their relationships with well- known rings. Then we treat generalizations of Armendariz rings, such as McCoy ring, weak Armendariz rings, p-Armendariz rings and their links.

Keywords and phrases: Armendariz ring, von Neumann regular ring, Baer ring, p.p.-ring, McCoy ring, weak and p-Armendariz ring.