This paper proves that the localization A_A of a semigroup A at itself is the maximal abelian group homomorphism image of A. In this case, the image set of A is exactly the maximal camcellation semigroup image of A.

• 证明丰群A关于自身局部化A_A是其极大Abel群同态象,这时A的象集恰为A的极大可消半群象。