Title of article :
𝝅-Armendariz Rings and Related Concepts
Author/Authors :
abduldaim, areej m. university of technology - applied sciences department/ branch of mathematics and computer applications, Baghdad, iraq , abidali, roaa m. university of technology - applied sciences department/ branch of mathematics and computer applications, Baghdad, Iraq
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 , 𝜋 , Armendariz ring , central Armendariz ring , 𝛼 , compatible ring , semicommutative ring.
Journal title :
Baghdad Science Journal
Journal title :
Baghdad Science Journal
