On Strong Periodic Ring

Abstract

In this work we shall introduce a definition of strong periodic ring and we
prove some properties of this type of rings.
1. Introduction : The concept of ring is very important concept in Algebra
[1],[2] . We give a definition of periodic ring where a ring is called periodic if
every subring is periodic that is there exist r R such that rS=S for S subring
of a ring R. And we give a definition of a strong periodic ring if rS=S for
every r R .
We find the intersection of two strong periodic subring is a gain strong
periodic subring .we prove if R is a strong periodic ring and be ideal of R