单调保k变换半群ORn(K)的Green关系
Green’s Relations of Semigroup Monotone and k-Preserving Transformations
摘要:
设X
n=﹛1,2,...n﹜是有限集， Sing
n是X
n上的奇异变换半群，O
n和R
n是Sing
n上的保序变换之集和反保序变换之集，令OR
n(K) =﹛α∈O
n:Kα=K﹜∪﹛α∈R
n:Kα=K﹜，刻画了半群OR
n(K)的Green关系。
Abstract:
Let Xn=﹛1,2,...n﹜ denote a finite set, Singn is Singular transformation semigroups on it. On and Rn is Order-preserving and anti-order-preserving transformation semigroups of Singn . Let ORn(K) =﹛α∈On:Kα=K﹜∪﹛α∈Rn:Kα=K﹜, this paper describes Green’s relations of ORn(K) .
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