Subdirectly irreducible and free Kleene-Stone algebras

DOI10.1007/BF01236522zbMath0841.06009OpenAlexW2086045606MaRDI QIDQ1319058

Craig C. Squier, Fernando Guzmán

Publication date: 16 July 1996

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

Full work available at URL: https://doi.org/10.1007/bf01236522

zbMATH Keywords

Kleene algebrasbounded distributive latticeKleene-Stone algebraStone negation

Mathematics Subject Classification ID

Free algebras (08B20) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Subdirect products and subdirect irreducibility (08B26)

Related Items (8)

On PBZ*-lattices ⋮ Congruence properties of pseudocomplemented De Morgan algebras ⋮ Regular double \(p\)-algebras: a converse to a Katriňák theorem and applications ⋮ Ockham algebras with pseudocomplementation ⋮ Congruence permutable Kleene-Stone algebras ⋮ Varieties of regular pseudocomplemented De Morgan algebras ⋮ Classical modal De Morgan algebras ⋮ De Morgan algebras with a quasi-Stone operator

Cites Work

• Enumerating fuzzy switching functions and free Kleene algebras
• Heyting algebras with dual pseudocomplementation
• Subdirectly irreducible pseudocomplemented De Morgan algebras
• A regular variety of type \(<2,2,1,1,0,0>\)
• On a problem of M. H. Stone
• Principal Congruences of Pseudocomplemented Demorgan Algebras
• The Fraser-Horn and Apple Properties

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