摘要
称半群Ｓ的子半群Ｔ上的同余ρＴ可以扩张到半群Ｓ，如果存在Ｓ上的同余ρＳ使得ρＳ｜Ｔ＝ρＴ．本文在文［１］刻划了半格上的同余在其逆半群上扩张的特征之后，刻划了半格Ｅ的同余格与Ｔ的完全逆子半群格之间的关系。
A congruence ρT on a subsemigroup T of a semigroup S is said to be extended to S if there ex ists a congruence ρs on S so that ρs|T=ρT. This paper describes the relationship between the con gruence lattice of a semilattice and the fully inverse subemigroup lattice of T by virtue of the char acterization of congruences on semilattices extended to some inverse semigroups, which is dis cussed in [1].
基金
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