半群平移壳理论是半群代数理论的一个重要部分，在半群的理想扩张理论中占有重要地位。

The theory of translational hull of semigroups is an important branch of the algebra theory and plays a basic role in the theory of ideal extensions of semigroups.

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本文通过对合交换半群概念的引入，对MV -代数建立了几组等价公理系，对原有的公理系进行了较好的简化。

In this paper, we introduce the notion of involution commutative semi-group, and give some equivalence axioms of MV - algebras.

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半群的研究在代数学的理论研究中占有很重要的地位。 其中格林关系在半群理论的研究中有着重要的意义。

The research of semigroup plays an important role in the research of the theory of algebra, and the Green's equivalences are especially significant in the study of semigroups.

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