Title of article :
A class of rings between Armendariz and Central Armendariz rings
Author/Authors :
Sahebi, Sh. Department of Mathematics - Central Tehran Branch - Islamic Azad University , Razaghi, S. Department of Mathematics - Central Tehran Branch - Islamic Azad University
Abstract :
The purpose of this paper is to introduce a proper class of rings between Armendariz and Central Armendariz rings. In this direction, we define the concept of Idempotent Armendariz rings. We consider the closure of the Id-Armendariz rings with respect to various extensions including direct product, matrices rings, corner rings, polynomial rings and etc.
Keywords :
Armendariz rings , idempotent element , abelian rings
Journal title :
Journal of Linear and Topological Algebra
