Classes of examples of pseudo-MV algebras, pseudo-BL algebras and divisible bounded non-commutative residuated lattices

DOI10.1007/s00500-009-0405-5zbMath1188.06008OpenAlexW2100248663MaRDI QIDQ2380339

Afrodita Iorgulescu

Publication date: 26 March 2010

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-009-0405-5

zbMATH Keywords

pseudo MV-algebrapseudo BL-algebrapseudo BCK-algebradivisible bounded noncommutative residuated latticepseudo Wajsberg algebra

Mathematics Subject Classification ID

BCK-algebras, BCI-algebras (06F35) MV-algebras (06D35) Ordered semigroups and monoids (06F05)

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Cites Work

• On BCK algebras. II: New algebras. The ordinal sum (product) of two bounded BCK algebras
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Metamathematics of fuzzy logic
• Dually residuated lattice ordered semigroups
• Algebraic Analysis of Many Valued Logics
• A non-commutative generalization of MV-algebras
• Pseudo MV-algebras are intervals in ℓ-groups
• Bipartite pseudo MV-algebras
• An algebra related with a propositional calculus
• States on pseudo MV-algebras
• Pseudo-t-norms and pseudo-BL algebras
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