Representation of cubic lattices by symmetric implication algebras

被引：0
|
作者：
Abad, Manuel [1 ]
Diaz Varela, Jose Patricio [1 ]
机构：
[1] Univ Nacl Sur, Dept Matemat, RA-8000 Bahia Blanca, Buenos Aires, Argentina
来源：
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2006年 / 23卷 / 2-3期
关键词：
cubic lattices; semilattices; implication algebras;
D O I：
10.1007/s11083-006-9041-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper a cubic lattice L(S) is endowed with a symmetric implication structure and it is proved that L(S) \ {0} is a power of the three-element simple symmetric implication algebra. The Metropolis-Rota's symmetries are obtained as partial terms in the language of symmetric implication algebras.
引用
收藏
页码：173 / 178
页数：6
相关论文
共 50 条
  • [31] Symmetries of coincidence site lattices of cubic lattices
    Zeiner, P
    ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 2005, 220 (11): : 915 - 925
  • [32] ON A REPRESENTATION OF LATTICES
    KRIZ, I
    PULTR, A
    JOURNAL OF PURE AND APPLIED ALGEBRA, 1990, 68 (1-2) : 215 - 223
  • [33] On symmetric quotients of symmetric algebras
    Kessar, Radha
    Koshitani, Shigeo
    Linckelmann, Markus
    JOURNAL OF ALGEBRA, 2015, 442 : 423 - 437
  • [34] Two-dimensional solitons in cubic-saturable media with PT-symmetric lattices
    Goksel, Izzet
    Antar, Nalan
    Bakirtas, Ilkay
    CHAOS SOLITONS & FRACTALS, 2018, 109 : 83 - 89
  • [35] Lattices of Logmodular Algebras
    Bhat, B. V. Rajarama
    Kumar, Manish
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2024, 60 (03) : 507 - 537
  • [36] LATTICES OF VARIETIES OF ALGEBRAS
    VOLKOV, MV
    MATHEMATICS OF THE USSR-SBORNIK, 1980, 37 (01): : 53 - 69
  • [37] REPRESENTATION OF SPECTRA OF ALGEBRAS OF BLOCK-SYMMETRIC ANALYTIC FUNCTIONS OF BOUNDED TYPE
    Kravtsiv, V. V.
    Zagorodnyuk, A., V
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2016, 8 (02) : 263 - 271
  • [38] Lattices of Jordan algebras
    Covas, Ricardo
    Mexia, Joao Tiago
    Zmyslony, Roman
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (10) : 2679 - 2690
  • [39] On symmetric algebras
    Birbas D.G.
    Journal of Mathematical Sciences, 1999, 95 (6) : 2609 - 2620
  • [40] Symmetric Groups and Lattices
    Anne-Marie Bergé
    Jacques Martinet
    Monatshefte für Mathematik, 2003, 140 : 179 - 195
12345