摘要
给出可换偏序立半群中元素的剩余周期的概念，证明了在剩余立半群中，么元为最大元当且仅当半群中每个元素的剩余周期均为１；讨论了元素的剩余周期的一些性质及一种特殊的剩余么牛群的Ａｂｅｌ群结构．
The conception of residual periods of elements in commutative pomonoid is introduced for the first time and it is proved that in residual monoid the identity is the greatest element if and only if the residual period of every elements is 1. Some properties of residual period and the abelian-group structure of a special residual monoid have also been discussed.
出处
《陕西师大学报（自然科学版）》
CAS
CSCD
1995年第2期27-30,共4页
Journal of Shaanxi Normal University(Natural Science Edition)
关键词
偏序
半群
剩余半群
剩余幂零元
剩余周期
partial order
semigroup
residual semigroup
residual nilpotent element
residual period
