π-Armendariz Rings and Related Concepts

Authors

Areej M. Abduldai, Branch of Mathematics and Computer Applications,Applied Sciences Department,University of Technology,Baghdad –Iraq.Follow
Roaa M. Abidali, Branch of Mathematics and Computer Applications,Applied Sciences Department,University of Technology,Baghdad –Iraq.

Abstract

In this paper we investigated some new properties of ��-Armendariz rings and studied the relationships between ��-Armendariz rings and central Armendariz rings, nil-Armendariz rings, semicommutative rings, skew Armendariz rings, ��-compatible rings and others. We proved that if �� is a central Armendariz, then �� is a ��-Armendariz ring. Also, we explained how skew Armendariz rings can be ��-Armendariz, for that we proved that if �� is a skew Armendariz ��-compatible ring, then �� is ��-Armendariz. Examples are given to illustrate the relations between concepts.

Keywords

Armendariz ring, ��-Armendariz ring, central Armendariz ring, α-compatible ring, semicommutative ring

Article Type

Article

How to Cite this Article

Abduldai, Areej M. and Abidali, Roaa M. (2016) "π-Armendariz Rings and Related Concepts," Baghdad Science Journal: Vol. 13: Iss. 4, Article 23.
DOI: https://doi.org/10.21123/bsj.2016.13.4.0853