Pre-ideals of basic algebras

DOI10.1007/s10773-011-0928-2zbMath1247.81018OpenAlexW2009032016MaRDI QIDQ429956

Jan Krňávek, Jan Kühr

Publication date: 20 June 2012

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-011-0928-2

zbMATH Keywords

basic algebraideal, effect algebraspre-ideal

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) MV-algebras (06D35) Ordered structures (06F99)

Related Items (9)

On non-associative generalizations of MV-algebras and lattice-ordered commutative loops ⋮ On (finite) distributive lattices with antitone involutions. ⋮ The join of the variety of MV-algebras and the variety of orthomodular lattices ⋮ Ideals and congruences of basic algebras ⋮ On states and state operators on certain basic algebras ⋮ A note on derivations on basic algebras ⋮ MP-CLOSED SUBSETS IN BASIC ALGEBRAS ⋮ On special elements and pseudocomplementation in lattices with antitone involutions ⋮ A note on residuated po-groupoids and lattices with antitone involutions

Cites Work

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• Many-valued quantum algebras
• Commutative basic algebras and non-associative fuzzy logics
• Complete commutative basic algebras
• Independence of axiom system of basic algebras
• An example of a commutative basic algebra which is not an MV-algebra

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