Г-带的半格分解

SEMILATTICE DECOMPOSITION OF Γ-BAND

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.

Γ-band,Γ-rectangular band and Γ-semilattice are introduced to Γ-semigroup in this paper. Decomposition theorems of inverse set of an element and Γ-semilattice of Γ-band are obtained, the two decomposition theorems are similar to the decomposition theorem of inverse set and famous semilattice decomposition theorem of band in general semigroup, respectively.