关于半群的一些性质定理的证明

On the Proof of Some Properties and Theorem of Semigroup

本文从推导非双射变换可以作成一个半群出发,论证了任何半群和变换半群的关系,并推出了半群的广义结合律和广义交换律.

This paper begin with driving that nonbijective transformation can be regarded as a semigroup, we demonstrate the relation between any semigroup and semigroup of transformation and deduce generalized associative law and generalized commutative law of semigroup.