Commuting $\pi$-regular rings

محورهای موضوعی : Rings theory

Sh. Sahebi ¹ , M. Azadi ²

1 - Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran
2 - Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran

تاریخ دریافت : 1391/10/12 تاریخ پذیرش : 1391/10/12 تاریخ انتشار : 1392/03/11

کلید واژه: Regular, Commuting $\pi$-regular,

چکیده مقاله :

R is called commuting regular ring (resp. semigroup) if for each x,y $\in$ R thereexists a $\in$ R such that xy = yxayx. In this paper, we introduce the concept of commuting $\pi$-regular rings (resp. semigroups) and study various properties of them.