Finite-valued algebraic lattices

DOI10.1007/BF01190439zbMath0806.06011MaRDI QIDQ690095

J. T. Snodgrass, Constantine Tsinakis

Publication date: 20 December 1993

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

zbMATH Keywords

distributive latticealgebraic latticebialgebraic latticemeet- irreducible elementsrelatively normal latticeroot-system

Mathematics Subject Classification ID

Heyting algebras (lattice-theoretic aspects) (06D20) Ordered groups (06F15)

Related Items (16)

THE STRUCTURE OF COMMUTATIVE RESIDUATED LATTICES ⋮ The finite basis theorem for relatively normal lattices ⋮ On values in relatively normal lattices ⋮ Groupable lattices ⋮ Conrad frames ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Decompositions for Relatively Normal Lattices ⋮ Unnamed Item ⋮ Sublattices Generated by Polars ⋮ Dimension in algebraic frames ⋮ Free meets and atomic assemblies of frames ⋮ Nuclear typing of frames vs spatial selectors ⋮ Regularity in algebraic frames ⋮ Ordinal decompositions for preordered root systems ⋮ Yosida frames

Cites Work

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• Relative annihilators in lattices
• Finitely-valued f-modules
• Unique Factorization in Partially Ordered Sets
• Normal lattices
• Completely Distributive Complete Lattices
• A characterization of ΣΔ-rings of subsets

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