摘要
半群Ｔ上的同余ρＴ称为是半群Ｓ上的同余ρＳ在Ｔ上的扩张，若Ｓ是Ｔ的子半群，且ρＴ｜ｓ＝ρＴ｜∩（Ｓ×Ｓ）＝ρＳ。本文利用同余的正规性与不变性讨论了半格上的同余在逆半群上的扩张。并刻划了具有某些同余扩张性的逆半群的特征。
The congruence ρT on a semigroup T is called the cxtension of congruence ρS on a semi group S, if S is a subsemigroup of T and ρT|s =ρS. In this paper,we discuss the extension ofcongruence on semilattices to inverse semigroups by using the normal properties and invariantproperties of congruence. and characterizes a class of inverse semigroupe on which each congru ence has certain extensive properties.
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