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同余可换的Stone代数 被引量:1

Congruence Permutable Stone Algebras
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摘要 借助 Stone代数的对偶空间的性质 ,考察了 Stone代数的同余可换性 . In this paper the author characterizes congruence permutable Stone algebras by means of dual space theory of Stone algebras.
作者 罗从文
机构地区 三峡大学数学系
出处 《数学物理学报(A辑)》 CSCD 北大核心 2003年第3期294-297,共4页 Acta Mathematica Scientia
基金 湖北省教育厅自然科学重点项目 (2 0 0 1 A5 3 0 1 2 )
关键词 STONE代数 同余可换性 Stone空间 对偶空间 Priestley对偶 Stone algebra Congruence permutable Stone space.
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参考文献10

  • 1Adams M E, Beazer R. Congruence relations on de Morgan algebras. Algebra Univ, 1989,1:103-105.
  • 2Balbes R, Dwinger P. Distributive lattices. Columbia,Missouri: University of Missouri Press, 1974.
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同被引文献7

  • 1M. E. Adams,Beazer R,Congruence relations on de Morgan algebras[J]. Algebra Univ. , 1989( 1 ) : 103 -125.
  • 2T. S. Blyth and J. C. Varlet, Congruences on MS-algebras[J].Bul. Soc. Roy. Sci. Liege, 1984(53):341-362.
  • 3Jie Fang, Pseudocomplemented MS-algebras[J]. Alg.Colloq. ,1996(1) :59-65.
  • 4T. S. Blyth and J. C. Varlet, On the dual space of an MS-algebra[J]. Math. Pannonica, 1990( 1 ) : 95- 109.
  • 5Gratzer, G. , General Lattice Theory [M]. Birkhauser Verlag, Basel, 1978.
  • 6H. A. Priestley, Ordered sets and duality for distributive lattices, Ann [ J]. Discrete Math. 1984(23):39-60.
  • 7T. S. Blyth J.C. Varlet, On a common abstraction of de Morgan algebras and Stone algebras [J]. Proc. Roy.Soc. Edinburgh, 1983 (94A) : 301-308.

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