FROM JOIN-IRREDUCIBLES TO DIMENSION THEORY FOR LATTICES WITH CHAIN CONDITIONS

DOI10.1142/S0219498802000148zbMath1043.06006arXivmath/0501404OpenAlexW2044276100WikidataQ128922138 ScholiaQ128922138MaRDI QIDQ4416638

Friedrich Wehrung

Publication date: 3 August 2003

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501404

zbMATH Keywords

congruence latticetensor productjoin-irreducible elementsbox productdimension monoidstrong separativityjoin-dependency relation

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Lattice ideals, congruence relations (06B10)

Related Items (2)

On the join dependency relation in multinomial lattices ⋮ Semilattices of finitely generated ideals of exchange rings with finite stable rank

Cites Work

• Zum Begriff der Charakteristik modularer Verbände
• Tensor products of structures with interpolation
• A new lattice construction: The box product
• The dimension monoid of a lattice
• Tensor products of semilattices with zero, revisited
• The Structure of Tensor Products of Semilattices with Zero
• Restricted injectivity, transfer property and decompositions of separative positively ordered monoids.

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