Representation of Cubic Lattices by Symmetric Implication Algebras |
| |
| Authors: | Manuel Abad José Patricio Díaz Varela |
| |
| Affiliation: | (1) Departamento de Matemática, Universidad Nacional del Sur, 8000 Bahía Blanca, Argentina |
| |
| Abstract: | 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. |
| |
| Keywords: | cubic lattices semilattices implication algebras |
| 本文献已被 SpringerLink 等数据库收录！ |
