一族新的半交换环

New Families of Semicommutative Rings

本文给出了一族新的半交换环,即证明了如果R是约化环那么R的上三角矩阵环的子环An(R),n=2k+1≥5,及An(R)+RE1k,n=2k≥4均是半交换环.

Abstract： In this note, new families of semieommutative tings are presented by proving that if R is a reduced ring then An（R） for any n=2k＋1≥5 and An（R） ＋ RE1k for any n=2k≥ 4 are semieommutative rings.