A new lattice construction: The box product

DOI10.1006/jabr.1999.7975zbMath0961.06005arXivmath/0501418OpenAlexW2068130742MaRDI QIDQ1818840

Friedrich Wehrung, George Grätzer

Publication date: 5 June 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501418

zbMATH Keywords

congruencesbox productjoin semilatticelattice tensor product

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Semilattices (06A12)

Related Items (10)

On Boolean ranges of Banaschewski functions ⋮ Orthocomplementation and compound systems ⋮ The possible values of critical points between varieties of lattices ⋮ Representing congruence lattices of lattices with partial unary operations as congruence lattices of lattices. I: Interval equivalence. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The canonical join complex ⋮ Representing congruence lattices of lattices with partial unary operations as congruence lattices of lattices. II: Interval ordering ⋮ FROM JOIN-IRREDUCIBLES TO DIMENSION THEORY FOR LATTICES WITH CHAIN CONDITIONS ⋮ The strong independence theorem for automorphism groups and congruence lattices of arbitrary lattices

Cites Work

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• The structure of Galois connections
• Tight Galois Connections and Complete Distributivity
• The Structure of Tensor Products of Semilattices with Zero
• On Complete Congruence Lattices of Complete Lattices
• Tensor Products and Transferability of Semilattices
• SIMULTANEOUS REPRESENTATIONS OF SEMILATTICES BY LATTICES WITH PERMUTABLE CONGRUENCES
• The tensor product of semilattices
• The \(M_3[D\) construction and \(n\)-modularity]

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