π-Armendariz Rings and Related Concepts | ||
| Baghdad Science Journal | ||
| Article 1, Volume 13, Issue 4, December 2016, Pages 853-861 | ||
| Authors | ||
| Areej M. Abduldaim; Roaa M. Abidali | ||
| Abstract | ||
| In this paper we investigated some new properties of π-Armendariz rings and studied the relationships between π-Armendariz rings and central Armendariz rings, nil-Armendariz rings, semicommutative rings, skew Armendariz rings, α-compatible rings and others. We proved that if R is a central Armendariz, then R is π-Armendariz ring. Also we explained how skew Armendariz rings can be π-Armendariz, for that we proved that if R is a skew Armendarizα-compatible ring, then R is π-Armendariz. Examples are given to illustrate the relations between concepts. | ||
| Keywords | ||
| Armendariz ring; central Armendariz ring; compatible ring; semicommutative ring | ||
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