Characterization of extended filters in residuated lattices

DOI10.1007/S00500-013-1100-0zbMath1386.03073OpenAlexW2010194023MaRDI QIDQ894677

Michiro Kondo

Publication date: 2 December 2015

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

Full work available at URL: https://doi.org/10.1007/s00500-013-1100-0

zbMATH Keywords

Heyting algebrasresiduated latticeextended filter

Mathematics Subject Classification ID

Heyting algebras (lattice-theoretic aspects) (06D20) Other algebras related to logic (03G25) Ordered semigroups and monoids (06F05)

Related Items (8)

On lifting quasi-filters and strong lifting quasi-filters in MV-algebras ⋮ A short note on \(t\)-filters, \(\mathcal{I}\)-filters and extended filters on residuated lattices ⋮ A note on some filters in residuated lattices ⋮ Generalized state operators on residuated lattices ⋮ Fuzzy extended filters on residuated lattices ⋮ On residuated lattices with left and right internal state ⋮ Some new axiomatic extensions of residuated logics ⋮ On co-annihilators in residuated lattices

Cites Work

• Residuated lattices. An algebraic glimpse at substructural logics
• Extended filters in bounded commutative \(Rl\)-monoids
• Some types of filters in BL algebras
• THE STRUCTURE OF COMMUTATIVE RESIDUATED LATTICES
• Boolean deductive systems of BL-algebras
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