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IE＊（X）中E类保序变换半群的Green关系 被引量：1

The Green's Relations of Order-preserving in Classes for Transformations Semigroups
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摘要 设X为有限集,E为X上的等价关系.I X为X上的对称逆半群,令I E*(X)={f∈I X:(x,y)∈E(f(x),f(y)∈E)}.探讨I E*(X)的一类全新子半群:I E*(X)中E类保序变换半群,研究了它的Green关系. Let the symmetric inverse semigroup be on the finite set , and be an equivalence on and define. A new family of subsemigroups has been provided in this paper, namely order - preserving in classes for transformations semigroups. This paper has discussed the Green＇ s equivalences and rank of order - preserving in classes for trans- formations semigroups.
作者 龙伟锋 陈先军
机构地区 贵州师范大学数学与计算机科学学院 嘉应学院学报编辑部
出处 《嘉应学院学报》 2013年第8期15-17,共3页 Journal of Jiaying University
基金 贵州省科学技术基金(黔科合J字LkS[2011]15)
关键词 半群 保序变换 保等价关系 秩 Semigroups preserving oder preserving equivalence relation rank
分类号 O152.7 [理学—基础数学]
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参考文献10

  • 1GOMES G M S, HOWIE J M . On the ranks of certain semigroups of order - preserving transformations [ J ]. Sem- igroup Forum, 1992 (45) :272 - 282.
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二级参考文献12

  • 1李映辉,王守峰,张荣华.含正则*-断面的正则半群(英文)[J].西南师范大学学报（自然科学版）,2006,31(5):52-56. 被引量：10
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嘉应学院学报
2013年 第8期

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