This paper proves that the localization of an orthodox semigroup at the semilattice of idempotences exists and is unique which is the maximum group homomorphism image.

本文证明了纯正么半群在其幂等元带上的局部化存在唯一，且证明了它是其最大群同态象。

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The fundamental homomorphism theorem is very important consequence in group theory, by using it we can resolve many problems.

群的基本同态定理是群论研究中最常见、最有价值的结论之一。

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