摘要
设α是环R的一个自同态,R是α-rigid环,n=2k+1≥7,那么一类上三角矩阵环An(R)+REu,k+u-1是An(R)+REu,k+u-1+REv,k+v-1的极大ā-斜Armendariz环,其中3≤u≤k,v=1,2,k+1,k+2.A5(R)是A5(R)+REv,k+v-1的极大ā-斜Armendariz环,其中v=1,2,3,4.
Let αbe an endomorphism of ring R. If R is α - rigid, then for n = 2k + 1≥7, A.(R) + REu, k + u- 1 is a maximal α^- - skew Armendariz subring of An ( R ) + REu, k +u - 1 + REv, k +v - 1, where 3 ≤ u ≤k and v = 1,2, k + 1, k +2. A5(R) is a maximal α^--skew Armendariz subring of A5(R) + REv,k+v-1.
出处
《西北民族大学学报(自然科学版)》
2006年第1期1-4,共4页
Journal of Northwest Minzu University(Natural Science)