Every effect algebra can be made into a total algebra
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Publication:1042413
DOI10.1007/s00012-009-0010-6zbMath1192.03048OpenAlexW2093085284MaRDI QIDQ1042413
Radomír Halaš, Jan Kühr, Ivan Chajda
Publication date: 14 December 2009
Published in: Algebra Universalis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00012-009-0010-6
Other algebras related to logic (03G25) Stone spaces (Boolean spaces) and related structures (06E15) Quantum logic (03G12)
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Finitely generated varieties of distributive effect algebras ⋮ A representation of weak effect algebras ⋮ On residuation in paraorthomodular lattices ⋮ The logic induced by effect algebras ⋮ On non-associative generalizations of MV-algebras and lattice-ordered commutative loops ⋮ Pseudo-effect algebras as total algebras ⋮ A non-associative generalization of effect algebras ⋮ Very true operators in effect algebras ⋮ Effect algebras are conditionally residuated structures ⋮ The join of the variety of MV-algebras and the variety of orthomodular lattices ⋮ Ideals and congruences of basic algebras ⋮ The variety of modular basic algebras generated by MV-chains and horizontal sums of three-element chain basic algebras ⋮ Congruences and ideals in pseudo effect algebras as total algebras ⋮ A question about basic algebras ⋮ On special elements and pseudocomplementation in lattices with antitone involutions ⋮ Material implications in lattice effect algebras
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