Γ-band,Γ-rectangular bandand Γ-semilattice are introduced to Γ-semigroup in this paper.

在Γ-半群中引入Γ-带、Γ-矩形带和Γ-半格等概念,获得了一个元的逆元集的分解定理和Γ-带的Γ-半格分解定理,它们分别类似于一般半群中逆元集的分解定理和著名的带的半格分解定理。

It is defined the conjugate hull ψ(S) and the normal hull Φ(S) of S which is an elementary rectangular band of inverse semigroupsand the inner part Θ(S) of ψ(S).

定义了逆半群的基本矩形带S的共轭壳ψ(S)、正规壳Φ(S)和ψ(S)的内部分Θ(S),得到ψ(S)、Φ(S)和Θ(S)也是逆半群的基本矩形带。

The paper showed that a semigroup S was a normal orthocryptou semigroup if and only if it was a strong semilattice of rectangular u-semigroups.

本文我们证明了半群S是正规纯正密码半群当且仅当它是矩形u-半群的强半格。