A class of rings between Armendariz and Central Armendariz rings

Journal of Linear and Topological Algebra

دوره 09، شماره 04، اسفند 2020، صفحه 301-306   

نوع مقاله: Research Paper

نویسندگان

Sh. Sahebi^{* 1}؛ S. Razaghi²

¹Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

²Department of mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

چکیده

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.

کلیدواژه‌ها

Armendariz rings؛ idempotent element؛ abelian rings

مراجع

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