Residuation in modular lattices and posets

DOI10.1142/S179355711950092XzbMath1491.06014arXiv1812.09491OpenAlexW2906301534MaRDI QIDQ4631118

Helmut Länger, Ivan Chajda

Publication date: 24 April 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09491

zbMATH Keywords

complementationmodular latticeDedekind-MacNeille completionmodular posetoperator residuationstrongly modular posetstrictly modular poset

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Complemented lattices, orthocomplemented lattices and posets (06C15) Modular lattices, Desarguesian lattices (06C05)

Related Items (8)

Logical and algebraic properties of generalized orthomodular posets ⋮ On residuation in paraorthomodular lattices ⋮ The logic induced by effect algebras ⋮ Right adjoint algebras versus operator left residuated posets ⋮ A logical characterization of multi-adjoint algebras ⋮ Extensions of posets with an antitone involution to residuated structures ⋮ Residuation in finite posets ⋮ Consistent posets

Cites Work

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• Left residuated operators induced by posets with a unary operation
• Residuated lattices. An algebraic glimpse at substructural logics
• Atomic orthocomplemented lattices
• Some properties of boolean ordered sets
• Residuated operators in complemented posets
• Orthomodular lattices can be converted into left residuated l-groupoids

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