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.
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.
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.
一个环R∈（M）当且仅当R的每一个非零同态象或者包含一个非零M理想或者有本质理想。
A ring Re, (M) iff each nonzero homomorphic image of R either contains a nonzero M-ideal or has an essential ideal.
对同态映射下环中近似集合的变化规律进行了讨论，得到了粗糙子环、粗糙理想同态象的若干性质。
The properties of the homomorphic images of rough subrings and rough ideals are obtained by discussing the variation of approximation operators under homomorphic mapping in the ring.
对同态映射下环中近似集合的变化规律进行了讨论，得到了粗糙子环、粗糙理想同态象的若干性质。
The properties of the homomorphic images of rough subrings and rough ideals are obtained by discussing the variation of approximation operators under homomorphic mapping in the ring.
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