摘要
环R是弱对称环当且仅当R上的n×n上三角矩阵环Tn(R)是弱对称环;对称环上的多项式环是弱对称环.
A ring R is weakly symmetric if and only if for any n, the n × n upper triangular matrix ring Tn (R) is weakly symmetric; the polynomial ring R[x] over a symmetric ring is weakly symmetric.
出处
《西北师范大学学报(自然科学版)》
CAS
2006年第1期24-26,共3页
Journal of Northwest Normal University(Natural Science)
关键词
对称环
弱对称环
上三角矩阵环
symmetric ring
weakly symmetric ring
upper triangular matrix ring