引入α-对称环的概念,讨论了它与其它相关环的关系,证明环R是α-对称环当且仅当R上的n×n上三角矩阵环Tn(R)是^-α-对称环;若R是α-对称环,则R[x]/(x^n)是α-对称环,其中(x^n)是由x^n生成的理想,n为任意正整数.
In this paper, we introduce the concept of α-symmetric rings and investigate the relations between them and related rings. We show that a ring R is α-symmetric if and only if the n × n upper triangular matrix rings Tn(R) are ^-α-symmetric, and that if R is a-symmetric then R[x]/(x^n) is α-symmetric, where (x^n) is the ideal generated by x^n,n∈M.