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.
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页码：173 / 178
页数：6
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