The complete principal divisor lattices

DOI10.1007/s11425-010-4002-yzbMath1218.06004OpenAlexW2088470248MaRDI QIDQ625807

Xiao-bing Qu, Xue-ping Wang

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4002-y

zbMATH Keywords

complete latticedistributive latticeirredundant join-irreducible decompositionprincipal divisor lattice

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Representation theory of lattices (06B15) Structure and representation theory of distributive lattices (06D05)

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Conditions under which the solution sets of fuzzy relational equations over complete Brouwerian lattices form lattices

Cites Work

• Canonical decompositions in complete lattices
• Some properties of infinite fuzzy relational equations on complete Brouwerian lattices
• Representable pseudo-BCK-algebras and integral residuated lattices
• Rings of sets
• Lattices with unique irreducible decompositions
• Decomposition Theory for Lattices Without Chain Conditions
• Decomposition Theory for Nonsemimodular Lattices
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