Filters and ideals in the generalization of pseudo-BL algebras

DOI10.1007/S00500-019-04528-9zbMath1436.06028OpenAlexW2990585530WikidataQ126757719 ScholiaQ126757719MaRDI QIDQ780271

Hong-Kai Wang, Wenjuan Chen

Publication date: 15 July 2020

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

Full work available at URL: https://doi.org/10.1007/s00500-019-04528-9

zbMATH Keywords

idealsfilterspseudo-BL algebrasquasi-pseudo-BL algebrasquasi-pseudo-MV algebras

Mathematics Subject Classification ID

Other algebras related to logic (03G25) Lattice ideals, congruence relations (06B10) MV-algebras (06D35)

Cites Work

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• Metamathematics of fuzzy logic
• Ideals and congruences in quasi-pseudo-MV algebras
• Quantum computational logic
• A complete many-valued logic with product-conjunction
• Ideals and involutive filters in generalizations of fuzzy structures
• MV-algebras derived from ideals in BL-algebras
• MV-algebras and quantum computation
• Quantum computational algebra with a non-commutative generalization
• Some classes of pseudo-BL algebras
• A New Proof of the Completeness of the Lukasiewicz Axioms
• Some classes of quasi-pseudo-MV algebras:

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