《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (12): 49-55.doi: 10.6040/j.issn.1671-9352.0.2020.235
• • 上一篇
杨丽娜1,王尧1,任艳丽2*
YANG Li-na1, WANG Yao1, REN Yan-li2*
摘要： 研究斜三角矩阵环 T(R,n,α)的几个新的环论性质,证明了:(1)设α是环R的一个自同态且α(1)=1, 则R是Hermite环当且仅当T(R,n,α)是Hermite环;(2)R是右弱McCoy环当且仅当T(R,n,α)是右弱McCoy环;(3)设M是幺半群, α是环R的一个刚性自同态, 则R是M-Armendariz 环当且仅当T(R,n,α)是M-Armendariz 环。
中图分类号:
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