部分变换半群的奇异部分的自同态

Endomorphisms of the Singular Part of Partial Transformation Semigroups

设φ是有限部分变换半群的奇异部分的任意一个自同态.通过对同态核ker(φ)的研究来讨论出φ可能具备的所有形式,从而刻画出有限部分变换半群奇异部分的所有自同态.

Let φ be any endomorphisms of the singular part of finite partial transformation semigroups. To describe all endomorphisms of the singular part of finite partial transformation semigroups, this paper discussed all forms that φ could be by studying the kernel ker（φ） of the endomorphism φ.