On (finite) distributive lattices with antitone involutions.

DOI10.1007/S00500-013-1205-5zbMath1330.06004OpenAlexW2097678272MaRDI QIDQ894667

Jan Kühr, Michal Botur

Publication date: 2 December 2015

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-013-1205-5

zbMATH Keywords

basic algebrasMV-algebrasDe Morgan algebrasdistributive basic algebrasdistributive lattices with involutionsharp elementsweakly monotone basic algebras

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) MV-algebras (06D35) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30)

Related Items (7)

On non-associative generalizations of MV-algebras and lattice-ordered commutative loops ⋮ On states and state operators on certain basic algebras ⋮ A note on derivations on basic algebras ⋮ On special elements and pseudocomplementation in lattices with antitone involutions ⋮ Residuated structures and orthomodular lattices ⋮ On order types of linear basic algebras. ⋮ A note on residuated po-groupoids and lattices with antitone involutions

Cites Work

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• Extremal states on bounded residuated \(\ell\)-monoids with general comparability
• Pre-ideals of basic algebras
• The variety of modular basic algebras generated by MV-chains and horizontal sums of three-element chain basic algebras
• Many-valued quantum algebras
• Algebraic foundations of many-valued reasoning
• Ideals and congruences of basic algebras
• Congruences generated by ideals of the compatibility center of lattice effect algebras
• Independence of axiom system of basic algebras
• Bounded lattices with antitone involutions and properties of MV-algebras

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