半群PT_n(A)的正则性与格林关系

Regularity and Green's Relations on a Semigroups of PT_n(A)

设X_n={1,2,…,n}并赋予自然序,PT_n是X_n上的部分变换半群.设A■X_n非空,令PT_n(A)={α∈PT_n:imα■A}.讨论了半群PT_n(A)的正则性与格林关系.

Let Xn = {1, 2,…… ,n） ordered in the standard way. Let PTn be the partial transformation semigroup on Xn. Let A C Xn be an nonempty set, and let PTn（A） = {α ∈ PTn, imα A}. In this paper, we discusses Green＇s relations and Regularity of PTn（A）.