GV－逆半群的局部化及应用

LOCALIZATION OF GV-INVERSE SEMIGROUP AND APPLICATION

证明了ＧＶ－逆半群Ｓ在其正则元集合ＫｅｇＳ所生成的子半群（ＲｅｇＳ）上的局部化在同构意义下存在唯一，且为其最大群同态象。由此又可得到Ｓ的最小群同余．

This paper proves that the localization of GV-inverse semigroup S at<Reg S >(Reg S is the regular element set of S)exists and is unique in the sense of isomorphism,Thelocalization is the maxitnal group homomorphism image。Furthermore,the minimum groupcongruence on S is given。