摘要
本文讨论了一般结合环与(左)S-单式周期环在一定条件下的结构问题,得出它们分别是局部交换环与诣零交换环,或为局部交换环的亚直和。同时,推广和改进了文献[l]的结果。
This note has discussed the structures of associative rings and (left) s-unital periodic
rings for satisfying definitive conditions. It is suggested that they are subdirect sums of local
commutative rings and nil commutative rings, or of local commutative rings.
基金
国家教委回国人员科研基金
关键词
周期环
交换环
结合环
结构定理
periodic ring
nil commutative ring
local commutative ring
