摘要
给出诣零幂级数McCoy环的概念及相应的实例,并证明了Reduced环上的n×n矩阵环不是诣零幂级数McCoy环.讨论诣零幂级数McCoy环的扩张,并证明了右诣零幂级数McCoy环的直积是右诣零幂级数McCoy环.
We introduced the notion of nil power-serieswise McCoy rings and gave the corresponding examples.It was proved that the n × n matrix rings over reduced rings is not nil power-serieswise McCoy rings.Moreover,we investigated the extensions of nil power-serieswise McCoy rings.It was shown that the direct product of nil power-serieswise McCoy rings is nil power-serieswise McCoy rings.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2013年第6期1004-1008,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11101197)
河西学院青年教师科研基金(批准号:QN2012-14)
关键词
诣零McCoy环
幂级数环
幂零元
nil-McCoy rings
power series rings
nilpotent elements
