On generalized π- regular rings

الملخص EN

The purpose of this paper is to study right generalized π-regular rings and give some of it is properties.

Also, we proved : 1- Let R be a right generalized π-regular ring without zero divisors element.

Then R is a division ring.

2- 2-Let R be a ring with l (an) ≤ r (an), for every a ∈ R and n ϵ z ϵ.

Then R is regular.

If and only if R is a right generalized π-regular ring.