【摘要】 设I_n是有限集X_n={1,2,…,n}上的对称逆半群,研究了X_n上部分一一保序扩张有限变换半群OEX_n={α∈I_n|■x,y∈dom(α),x≤y■xα≤yα且|x-y|≤|xα-yα|}∪{?},证明了它是非正则类A半群,并找到了它的所有极小秩.更多还原

【Abstract】 Let I_n be the symmetric inverse semigroup on a finite set X_n = {1,2,…,n}.This paper investigates the semigroup OEX_n={α∈I_n|■x,y∈dom(α),x≤y■xα≤yαwhile|x-y|≤|xα-yα|}∪{?}of partial one-to-one orderpreserving extension finite transformation on X_n,proves that OEX_n is a nonregular type Asemigroup,and finds all the minimal ranks of OEX_n.更多还原