?-Armendariz rings and related concepts

الملخص EN

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 ?-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.