半素PI—环的超中心

THE HYPERCENTER OF SEMIPRIME PI-RING

证明了半素ＰＩ－环的超中心是平凡的，即定理若Ｒ是半素ＰＩ－环，则Ｔ（Ｒ）＝Ｚ（Ｔ（Ｒ））＝Ｚ（Ｒ），其中Ｔ（Ｒ）是Ｒ的超中心；Ｚ（Ｒ）是Ｒ的中心。

in this paper.we have proved that hypercenter of semiprime PI-ring is trivial,i.e Suppose R is a semiprime PI- ring,then T(R)=Z(T(R))=Z(R).Where T(R) is the hypercenter of R;Z(R) is the center of R.