引进了自然序半格、偏序半群的自然序半格同态象和二次主根基等概念。

Concepts of natural ordering semilattices, natural ordering semilattice homomorphic images and principal square radicals on ordered semigroups are introduced.

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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。

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.

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本文在对同态与模糊代数不加任何限制的情况下，证明了模糊代数的同态象仍是模糊代数。

In this paper we have proved, without any restriction, that homomorphic Images of fuzzy algebras form are fuzzy algebras.

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