【摘要】：設(shè)E是X上的一個等價關(guān)系,P_E(X)是由等價關(guān)系E確定的保等價關(guān)系的部分變換半群.利用格林關(guān)系和正則元的定義,研究了半群P_E(X)的一個子半群P_2(X)={f∈P_E(X)∶|imf|≤2}上的格林關(guān)系和正則性,刻畫了半群P2(X)上的兩元素間的格林關(guān)系,給出了這類半群中元素為正則元的充要條件.
[Abstract]:Let E be an equivalent relation on X, and PE (X) be a partial transformation semigroup of preserving equivalence relations determined by equivalence relation E. By using Green's relation and the definition of regular element, we study the Green's relation and regularity on a subsemigroup P _ s _ 2 (X) = {f 鈭，

本文編號：2349617