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Smooth格和强Smooth格 被引量：1

Smooth Lattices and Strongly Smooth Lattices
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摘要 引入了强smooth格的概念,讨论了smooth格与强smooth格的一些基本性质,证明了强smooth格可用保任意交和Scott闭集之并的映射嵌入到某方体[0,1]X之中。 The concept of strongly smooth lattices is introduced. Some basic properties of smooth lattics and strongly smooth lattices are investigated. It is proved that a strong smooth lattice can be embedded in [0,1-]^x by a mapping which preserve arbitrary infs and Scott closed set sups.
作者 姚丽娟 徐晓泉
机构地区 江西师范大学数学与信息科学学院
出处 《模糊系统与数学》 CSCD 北大核心 2009年第2期41-45,共5页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(103310 1010861007) 高等学校全国优秀博士学位论文作者专项资金资助项目(2007B14) 江西省自然科学基金资助项目(0411025 2007GZS0179) 江西师范大学博士基金资助项目
关键词 SMOOTH格 强smooth格 smooth同态 嵌入 Smooth Lattice Strongly Smooth Lattice Smooth Homomorphism Embedding
分类号 O153 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Gierz G, et al. , Continuous lattices and domains[M]. Cambridge University Press,2003.
  • 2Bandeh H J, Erne. The category of Z-continuous posets[J]. J. Pure and Appl. Algebra,1983,30:219-226.
  • 3Baranga A. Z-continuous posets[J]. Discrete Math. , 1996,152 : 33-45.
  • 4Gierz G, Lawson J D. Generalized continuous and hypercontinuous lattices[J]. Rocky Mountain J. Math. ,1981,11: 271-296.
  • 5Gierz G, Lawson J D, Stralka A. Quasicontinuous posets[J]. Houston J. Math, 1983,9 : 191-208.
  • 6Xu X Q. Construction of homorphism of M-continuous lattices[J]. Trans. of Amer. Math. Soc. , 1995,347:3167- 3175.
  • 7徐晓泉,寇辉,黄艳.Rudin性质与拟Z-连续Domain[J].数学年刊（A辑）,2003,24(4):483-494. 被引量：16
  • 8徐晓泉,罗懋康,黄艳.拟Z-连续domain和Z-交连续domain[J].数学学报（中文版）,2005,48(2):221-234. 被引量：13
  • 9Weng K H. On Scott-closed set [Z]. University of Birmingham,2004.
  • 10Bernays P. A system of axiomatic set theory III[J]. J. Symbolic Logic. , 1942,9:65-89.

二级参考文献33

  • 1Heckmann, R., An upper power domain construction in terms of strongly compact sets[M], Lecture Notes in Computer Science, Vol. 598, Springer-Verlag, New York, 1992,272-293.
  • 2Jung, A., Cartesian closed categories of domains [M], CWI Tract 66, Amsterdam, 1989.
  • 3Rudin, M. E., Directed sets with converge [M], in: Proc. Riverside symposium ontopology and modern analysis, 1980, 305-307.
  • 4Venugopolan, P., Z-continuous posets [J], Houston J. Math., 12(1986), 275-294.
  • 5Venugopolan, P., Quasicontinuous posets [J], Semigroup Forum, 41(1990), 193-200.
  • 6Abramsky, S. & Jung, A., Domain theory [M], Handbook of Logic in Comuter Sci., Vol.3, Clarendon Press, Oxford, 1994.
  • 7Bandelt, H. J. & Erne, M., The category of Z-continuous posets [J], J. Pure and Appl.Algebra, 30(1983), 219-226.
  • 8Baranga, A., Z-continuous posets [J], Discrete Math., 152(1996), 33-45.
  • 9Gierz, G. & Lawson, J. D., Generalized continuous and hypercontinuous lattices [J],Rocky Mountain J. Math., 11(1981), 271-296.
  • 10Gierz, G., Lawson, J. D. & Stralka, A., Quasicontinuous posets [J], Houston J. Math.,9(1983), 191-208.

共引文献21

同被引文献15

  • 1Zadeh L A.Fuzzy sets[J].Information and Control,1965,8:338-353.
  • 2Wanger K R.Liminf convergence in Ω-categories[J].Theoretical Computer Science,1997,184:61-104.
  • 3Fan L.A new approatch to quantitative domain theory[J].Electronic Notes in Theoretical Computer Scicnce,2001,45:77-87.
  • 4Zhang Q Y,Fan L.Continuity in quantitative domains[J].Fuzzy Sets and Systems,2005,154:118-131.
  • 5Lai H L,Zhang D X.Complete and directed complete/2-eategories[J].Theoretical Computer Science,2007,388:1-25.
  • 6Yao W,Lu L X.Fuzzy Galois connections on fuzzy posets[J].Mathematical Logic Quarterly,2009,55:84-91.
  • 7Zhang Q Y,Xie W X,Fan L.Fuzzy complete lattices[J].uzzy Sets and Systems,2009,160:2275-2291.
  • 8Yao W.Quantative domains via fuzzy sets:Part Ⅰ:Continuity of fuzzy directed complete posets[J].Fuzzy Sets and Systems,2010,161:973-987.
  • 9Zhao D S.Semicontinuous lattiees[J].Algebra Universalis,1997,37:458-476.
  • 10Weng K H,Zhao D S.Lattices of Scott-closed sets[J].Commentationes Mathematicae Universitatis Carolinae,2009,50:297-314.

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模糊系统与数学
2009年 第2期

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