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上半格amenable偏序完全正则半群

∨-Semilatticed amenable partially ordered completely regular semigroups
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摘要 对上半格amenable偏序完全正则半群进行了研究.证明了若(S,∨.≤)是上半格amenable偏序完全正则半群,则(S,.)是Clifford半群.讨论了上半格amenable偏序E-unitary Clifford半群,得到了一些有趣的结果. ∨-semilatticed amenable partially ordered completely regular semigroups are studied.If(S,∨,·,≤) is ∨-semilatticed amenable partially ordered completely regular semigroups,then(S,·) is clifford semigroups.Moreover,∨-semilatticed amenable partially ordered E-unitary clifford semigroups are discussed.In the end,several interesting results are got.
机构地区 西北大学数学系
出处 《纺织高校基础科学学报》 CAS 2010年第3期317-320,共4页 Basic Sciences Journal of Textile Universities
基金 陕西省教育厅专项基金资助项目(2007JK413) 西北大学科学研究基金资助项目(09NW25)
关键词 上半格amenable偏序完全正则半群 上半格amenable偏序E-unitary CLIFFORD半群 格序半群 同构 ∨-semilatticed amenable partially ordered completely regular semigroups ∨-semilatticed amenable partially ordered E-unitary clifford semigroups latticed ordered semigroups isomorphisms
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参考文献5

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