A class of rings between Armendariz and Central Armendariz rings
محورهای موضوعی : Ring and Module Theory
Sh. Sahebi
1
(Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran)
S. Razaghi
2
(Department of mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran)
کلید واژه: Armendariz rings, idempotent element, abelian rings,
چکیده مقاله :
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 includingdirect product, matrices rings, corner rings, polynomial rings and etc.
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