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半群CPO_n(A)的格林关系 被引量：4

Green's relations on the semigroup CPO_n(A)
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摘要 设PO_n是X_n={1,2,…,n}上的保序部分变换半群,A是X_n的非空子集,令CPO_n(A)={α∈PO_n:(A∩dom(α))α■A,且x,y∈(A∩dom(α)),|xα-yα|≤|x-y|},则CPO_n(A)是PO_n的子半群.利用变换半群的保序和压缩性,刻画了半群CPO_n(A)的格林关系. Let PO,, be the partial order-preserving transformation semigroup on Xn = {1 ,… ,n}. For eachnonempty subset A of Xn, let CPO. （A） = {a ∈ POx： （A ∩dom（α））α A, x, y ∈ （A∩dom（α））, ｜ xα-yα｜≤｜x-y｜}. Then CPO.（A） is a subsemigroup of POn. In this paper, using order-preserving and compression properties of the transformation semigroup, Green＇s relations on the semigroup CPQ （A） are characterized.
作者 赵颐 游泰杰
机构地区 贵州师范大学数学与计算机科学学院
出处 《扬州大学学报（自然科学版）》 CAS 北大核心 2015年第4期5-8,12,共5页 Journal of Yangzhou University：Natural Science Edition
基金 国家自然科学基金资助项目(11461014)
关键词 变换半群 保序部分变换 格林关系 transformation semigroup＇ partial order-preserving transformation Green＇s relations
分类号 O152.7 [理学—基础数学]
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参考文献10

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二级参考文献6

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扬州大学学报（自然科学版）
2015年 第4期

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