JOURNAL ARTICLE
Generalized Boolean lattices
Richard D. ByrdR.A MenaLinda A. Troy
Year: 1975 Journal: Journal of the Australian Mathematical Society Vol: 19 (2)Pages: 225-237 Publisher: Cambridge University Press
Abstract
Hashimoto (1952; Theorems 8.3 and 8.5) proved the following theorems: Theorem A. If L , is a distributive lattice, then there exists a generalized Boolean alegbra L r and an isomorphism from the lattice of all congruence relations of L onto the lattice of all congruence relations of L r .
Keywords:
Mathematics Congruence lattice problem Distributive lattice Isomorphism (crystallography) Distributive property Lattice (music) Pure mathematics Congruence (geometry) Stone's representation theorem for Boolean algebras Map of lattices Isomorphism extension theorem Discrete mathematics Combinatorics Algebra over a field Two-element Boolean algebra Fixed-point theorem Reciprocal lattice Picard–Lindelöf theorem Crystal structure Algebra representation Quantum mechanics
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2
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1.06
FWCI (Field Weighted Citation Impact)
1
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0.73
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Topics
Advanced Algebra and Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Rough Sets and Fuzzy Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
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