%0 Journal Article
%T 单调保k变换半群OR<sub>n</sub>(K)的Green关系<br>Green’s Relations of Semigroup Monotone and k-Preserving Transformations
%A 孙艳
%J Pure Mathematics
%P 237-242
%@ 2160-7605
%D 2019
%I Hans Publishing
%R 10.12677/PM.2019.92030
%X <div style=\"text-align:justify;\">
	设X<sub>n</sub>=﹛1,2,...n﹜是有限集， Sing<sub>n</sub>是X<sub>n</sub>上的奇异变换半群，O<sub>n</sub>和R<sub>n</sub>是Sing<sub>n</sub>上的保序变换之集和反保序变换之集，令OR<sub>n</sub>(K) =﹛α∈O<sub>n</sub>:Kα=K﹜∪﹛α∈R<sub>n</sub>:Kα=K﹜，刻画了半群OR<sub>n</sub>(K)的Green关系。<br />
Let X<sub>n</sub>=﹛1,2,...n﹜ denote a finite set,&nbsp;Sing<sub>n</sub> is Singular transformation semigroups on it.&nbsp;O<sub>n</sub> and&nbsp;R<sub>n</sub> is Order-preserving and anti-order-preserving transformation semigroups of&nbsp;Sing<sub>n</sub> . Let OR<sub>n</sub>(K) =﹛α∈O<sub>n</sub>:Kα=K﹜∪﹛α∈R<sub>n</sub>:Kα=K﹜, this paper describes Green’s relations of&nbsp;OR<sub>n</sub>(K) .
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%K 保序，变换半群，Green关系<br>Order Preserving
%K Transformation Semigroups
%K Green’s Relations
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=29476