半群APk(n,n-1)的极大正则子半群

Maximal Regular Subsemigroups of the Semigroup APk(n,n-1)

设自然数n≥3,SP_(n)是有限链X上的奇异部分变换半群。对任意的正整数k(1≤k≤n),令A^(*)_(k)为X上的k-局部交错群,并记AP_(k)(n,n-1)=A^(*)_(k)∪SP_(n)。通过分析半群AP_(k)(n,n-1)中的元素和格林关系,获得了半群AP_(k)(n,n-1)的极大正则子半群的完全分类。

Let SP_(n) be singular partial transformation semigroup on a finite chain Xif the natural numbers n≥3. Let A^(*)_(k) be k-local alternating group on Xand let AP_(k)(n,n-1)=A^(*)_(k) ∪SP_(n) if for arbitrary integer k such that 1≤k≤n.By analyzing the elements and the Green’s relations of the semigroup AP_(k)(n,n-1),the classification completely of the maximal regular subsemigroups of the semigroup AP_(k)(n,n-1) is obtained.