The variety of lattice effect algebras generated by MV-algebras and the horizontal sum of two 3-element chains

DOI10.1007/s11225-008-9115-8zbMath1149.06005OpenAlexW2068129302MaRDI QIDQ935016

Radomír Halaš

Publication date: 31 July 2008

Published in: Studia Logica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11225-008-9115-8

zbMATH Keywords

varietydistributive latticelattice effect algebrabasic algebraantitone involution

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) MV-algebras (06D35) Partial algebras (08A55) Varieties of lattices (06B20)

Related Items (5)

A non-associative generalization of Hájek's BL-algebras ⋮ The join of the variety of MV-algebras and the variety of orthomodular lattices ⋮ On states and state operators on certain basic algebras ⋮ The variety of modular basic algebras generated by MV-chains and horizontal sums of three-element chain basic algebras ⋮ A question about basic algebras

Cites Work

• Effect algebras and unsharp quantum logics.
• Many-valued quantum algebras
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• Algebraic foundations of many-valued reasoning
• Complete commutative basic algebras
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