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格的标准元和分配元的主同余 被引量:4

Principal congruence on the standard and distributive elements of a lattice
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摘要 通过分析标准元的定义,构造出标准元具体的主同余公式,得出格的标准元的主同余的必要条件。进而再利用分配元的分配性,构造出具体的主同余公式,得出格的分配元的主同余的刻画。 A necessary condition for principal congruence on the standard elements of lattice L is given by analyzing the definition of the standard element and constructing a principal congruence formula. A decision condition for principal congruence on the distributive elements of lattice L is also characterized by constructing a principal congruence formula.
作者 叶林 曹发生
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2010年第11期63-66,72,共5页 Journal of Shandong University(Natural Science)
关键词 主同余 标准元 分配元 principal congruence standard element distributive element
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参考文献8

  • 1BURRIS Stanley N, SANKAPPANAVAR H P. A course in universal algebra [M]. New York: Springer Verlag, 1981:1- 276.
  • 2GRATZER George. Universal Algebra [ M ]. New York: Springer-Verlag, 1979 : 1-581.
  • 3王驹.关于 Baker 假设的证明[J].数学学报(中文版),1990,33(5):626-633. 被引量:7
  • 4SANKAPPANAVAR H P. Principal congruences of pseudocomplemented De Morgan algebras [ J ]. Zeitschr f math Logik und Grundlagen d Math, 1987, 33:3-11.
  • 5朱怡权.伪补分配格上的主同余关系[J].数学杂志,2000,20(2):133-138. 被引量:15
  • 6罗从文.伪补MS代数的主同余关系[J].应用数学,2004,17(4):661-664. 被引量:11
  • 7曹发生,王驹,蒋运承.格L的元与主同余的关系[J].西南大学学报(自然科学版),2009,31(12):87-91. 被引量:7
  • 8MALCEV A I. Axiomatizable classes of locally free algebras [ C ]// Wells B F. The Metamathematics of Algebraic Systems (Collected Papers: 1936C1967), Studies in Logic and the Foundations of Mathematics 66. Amsterdam: North-Holland Pubco, 1971: 262-281.

二级参考文献32

  • 1罗从文.伪补MS代数的主同余关系[J].应用数学,2004,17(4):661-664. 被引量:11
  • 2任美玉,高振林.关于序^*-半格同余的最小元问题[J].西南师范大学学报(自然科学版),2004,29(5):795-797. 被引量:3
  • 3欧启通.半环的亚直分解[J].贵州师范大学学报(自然科学版),2005,23(2):63-64. 被引量:2
  • 4Stanley Burris, Sankappanavar H P. A Course In Universal Algebra [M]. New York: Springer-Verlag, 1981:1 --276.
  • 5George Gratzer. Universal Algebra [M]. New York.. Springer-Verlag, 1979:1 --581.
  • 6Malcev A I. Axiomatizable Classes of Locally Free Algebras [M] //The Metamathematics of Algebraic Systems. Amsterdam:North-Holland, 1971: 262- 281.
  • 7Sankappanavar H P. Principal Congruences on Psdudocomplemented on Morgan Algebras [J]. This Zeitsehrift, 1987, 33:3 -- 11.
  • 8Blyth T S, Varlet J C. On a common abstraction of de Morgan algebras and Stone algebras[J]. Proc Roy Soc , 1983,94(A) :301-308.
  • 9Blyth T S, Varlet J C. Congruences on MS-algebras[J]. Bull Soc Roy Sci Liege , 1984,53:341 -362.
  • 10Jie Fang. Pseudocomplemented MS-algebras[J]. Algebras Colloq,1996,3(1) : 59- 65.

共引文献25

同被引文献35

  • 1曹发生,肖方.模态代数的主同余[J].山东大学学报(理学版),2020,55(2):104-108. 被引量:1
  • 2罗从文.伪补MS代数的主同余关系[J].应用数学,2004,17(4):661-664. 被引量:11
  • 3Burris S,Sankappanavar H P.A Course in Universal Algebra[M].New York:Springer-Verlag,1981:38-256.
  • 4Gratzer G.Universal Algebra[M].New York:Springer-Verlag,1979:1-350.
  • 5Sankappanavar H P.Principal congruences on psdudo-complemented on Morgan algebras[J].Proc Am Math Soc,1987,33:3-11.
  • 6Birkhoff G.Lattice Theory[M].New York:American Mathematical Society,1967:1-135.
  • 7Mal’cev A I.Axiomatizable classes of locally free algebras[C]//Wells B F.The Metamathematics of Algebraic Systems:Studiesin Logic and the Foundations of Mathematics.Amsterdam:North-Holland,1971:262-281.
  • 8Lakser H.Principal congruences of Pseudo-complemented distributive lattices[J].Proc Am Math Soc,1973,37(1):12-26.
  • 9Baker K A.Finite equational bases for algebras in a congruence-distributive equational class[J].Adv Math,1977,24:207-243.
  • 10Mckenzie R.Para-primal varieties:a study of finite axiomatizability and definable principal congruences in locally finite varie-ties[J].Algebra Universalis,1978,8:336-348.

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