There exist subdirectly irreducible commutative basic algebras of an arbitrary infinite cardinality which are not MV-algebras

DOI10.1007/s00012-011-0123-6zbMath1216.06008OpenAlexW2150394105MaRDI QIDQ535119

Michal Botur, Ivan Chajda

Publication date: 11 May 2011

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-011-0123-6

zbMATH Keywords

MV-algebracommutative basic algebrasection antitone involution

Mathematics Subject Classification ID

Other algebras related to logic (03G25) MV-algebras (06D35)

Related Items (2)

On non-associative generalizations of MV-algebras and lattice-ordered commutative loops ⋮ On order types of linear basic algebras.

Cites Work

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• Many-valued quantum algebras
• Commutative basic algebras and non-associative fuzzy logics
• Algebraic foundations of many-valued reasoning
• Complete commutative basic algebras
• An example of a commutative basic algebra which is not an MV-algebra
• Algebraic Analysis of Many Valued Logics
• Embeddings of totally ordered MV-algebras of bounded cardinality

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