本文给出了具有逆断面的纯正半群的一个新的构造定理。
A new construction theorem for orthodox semigroups with inverse transversals was given.
左半正规纯正半群是幂等元集形成左半正规带的纯正半群。
A left seminormal orthodox semigroup is an orthodox semigroup whose idempotents form a left seminormal band.
逆半群和具有逆断面的基础纯正半群的结构是比较简单的。
The constructions of inverse semigroups and fundamental orthodox semigroups with inverse transversals are simple.
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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