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E~*-酉范畴逆半群的一个表示定理(英文)

A Representation Theorem for E*-unitary Categorical Inverse Semigroups
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摘要 本文,我们对带零逆半群定义了0-对偶预同态的概念,并且用0-对偶预同态刻画了E*-酉范畴逆半群。 In this paper, we introduce the concept of 0-dual-prehomomorphism for inverse semigroups with zero and characterize E*-unitary categorical inverse semigroups in terms of 0-dualprehomomorphisms.
作者 陈历敏
出处 《数学进展》 CSCD 北大核心 2006年第2期244-248,共5页 Advances in Mathematics(China)
关键词 范畴半群 E*-酉半群 逆半群 categorical semigroup E*-unitary semigroup inverse semigroup
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参考文献5

  • 1Bulman-Fleming,S.,Fountain,J.,Gould,V.,Inverse semigroups with zero:covers and their structure,J.Austral.Math.Soc.(Series A),1999,67(1):15-30.
  • 2Gomes,G.M.S.and Howie,J.M.,A P-theorem for inverse semigroups with zero,Port.Math.,1996,53(2):257-278.
  • 3Lawson,M.V.,The structure of 0-E-unitary inverse semigroups I:The monoid case,Proc.of the Edinburgh Mathematical Society,1999,42(3):497-520.
  • 4Lawson,M.V.,Inverse semigroups:The theory of partial symmetries,Singapore:World-Scientific,1998.
  • 5Petrich,M.,Inverse Semigroups,New York:John Wiley and Sons,1984.

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