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.
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- 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。