有限对称逆半群的L-断面

L-transversals of finite symmetric inverse semiogroups

设In是有限集合Xn={1,2,...,n}上的有限对称逆半群.该文定义有限逆半群的L-断面,给出In的所有L-断面的构造和分类.

Let In be a symmetric inverse semigroup on the finite set [n] = { 1,2,…, n }. In this paper we give a definition of L-transversal of In. We further obtain all constructions of L-transversals of In and their classifications.