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效应代数上二元运算的序拓扑连续性(英文)

Order Topology Continuity of Two Variables Operations in Effect Algebra
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摘要 本文分别讨论了效应代数、格效应代数、全序效应代数上二元运算的序连续性,并对效应代数上二元运算在序拓扑意义下的连续性进行了刻画. The order continuity of two variables operation is discussed in effect algebra, lattice effect algebra and totally ordered effect algebra respectively. The theorems about two variables operation continuity under its order topology in effect algebra are also obtained.
作者 陶元红
出处 《延边大学学报(自然科学版)》 CAS 2009年第2期95-98,共4页 Journal of Yanbian University(Natural Science Edition)
基金 国家自然科学基金资助项目(10661011)
关键词 效应代数 序拓扑 连续性 effect algebra order topology continuity
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参考文献4

  • 1Foulis D J,Bennett M K.Effect Algebras and Unsharp Quantum Logics[J].Foundations of Phys,1994,24:1331-1352.
  • 2Birkhoff G.Lattice Theory[M].New York:AMS Colloquium Publ,1948.
  • 3Riecanova Z.On Order Topological Continuity of Effect Algebra Operations[C]//Proceedings of the 58th Workshop on General Algebra,Vienna University of Technology,June 3-6,1999.Contributions to General Algebra 12.Verlag-Johanes Heyn Klagenfurt,2000:349-354.
  • 4Wu Junde,Tang Zhifeng,Cho Minhyung.Two Variables Operation Continuity of Effect Algebras[J].International Journal of Theoretical Physics,2005,44:581-586.

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