半群бφ_n的某些特殊性质

Some Special Properties on the Semigroup бφ_n

设自然数n≥4,б_n是有限链[n]上的保序奇异变换半群.并通过分析秩为r的元素,获得了半群бφ_n={α∈б_n:■x∈im (α)■|xα~^(-1)|≥|im(α)|}的Green-关系、正则性和主因子的秩.

Let бn be the semigroup of all order-preserving singular transformations on a finite-chain [n] if n ≥ 4. By analyzing the elements of rank r, Green’s relations,regular element and the rank of principal factors of the semigroup бφn = {α∈бn:■x ∈im(α)■|xα-1|≥ |im(α)|} is obtained.