ON -REGULAR RINGS

Abstract

The main goal of work is to introduce and study a new type of regular rings called - regular rings. That is, a ring R is said to be - regular if for every aR there exists bR and a positive integer n≠1 such that a=abna. We will study som basic properties of those rings including the representation of their elements. Finally, we will study the relation between - regular rings and other rings.

Keywords

• regular rings
• positive integer