一类幂等元集闭包是Clifford半群的逆半群上的同余

详细信息

摘要: 刻画出了半群~ $\overline{P}(T,G,R)$ ~上的幂等纯同余、最大幂等分离同余和最小群同余，其中~ $P(Y,G,X)$ ~为满足条件~ $F$ ~和幂等元集闭包是~Clifford~半群的逆半群.
- 幂等元集闭包 /
- Clifford半群 /
- 同余
Abstract: It is characterized the idempotent pure,the greatest idempotent separating and the least group congruences on semigroup $\overline{P}(T,G,R)$ ,where $\overline{P}(T,G,R)$ is a inverse semigroup which satisfies the condition $F$ and the closure of whose set of idempotents is a Clifford semigroup.
- the closure of idempotent-set /
- Clifford semigroup /
- congruence