摘要
引进强分裂元（ｓｔｒｏｎｇｌｙｄｉｓｒｕｐｔｉｖｅｅｌｅｍｅｎｔ）以及广义Ｅ－极小半群的概念，从而给出半群Ｓ为ｔ－半群的充要条件是：具有ＰＩＥＰ或无强分裂元或具有某种ＣＥＰ．若周期半群Ｓ是广义Ｅ－极小半群，则Ｓ是一些ｐ群的并或一个左（右）零半群（或２个元素的半格）或诣零半群或幂零半群（当且仅当有ｎ∈Ｎ，使ｘｎ＝ｙｎ，ｘ，ｙ∈Ｓ）．
The notion of strongly disruptive element and general E minimal semigroups are introduced. It is obtained that the semigroup S is a t semigroup iff i) S has no strongly disruptive element or ii) S satisfy PIEP or iii) S satisfy some CEP. The period semigroup S is a general E minimal semigroup; then S is one of the following: (i) The union of p groups;(ii)A left (right) zero semigroup; (iii) A nil semigroup or nilpotent iff exist n ∈N such that x n=y n for any x,y∈S.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
1997年第7期85-87,96,共4页
Journal of Shanghai Jiaotong University
基金
上海交通大学自然科学基金
关键词
广义
周期半群
t半群
E极小半群
半群
strongly disruptive element
general E minimal semigroup
period semigroup
