The prime and maximal spectra and the reticulation of residuated lattices with applications to De Morgan residuated lattices

DOI10.1515/math-2020-0061zbMath1484.03132OpenAlexW3102447295MaRDI QIDQ2053499

Liviu-Constantin Holdon

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0061

zbMATH Keywords

idealfilterresiduated latticebounded distributive latticesprime spectrumpure idealmaximal spectrumreticulationDe Morgan lawsstable topology

Mathematics Subject Classification ID

Logical aspects of lattices and related structures (03G10) Other algebras related to logic (03G25) Lattice ideals, congruence relations (06B10) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30)

Related Items (2)

Relative annihilators in bounded commutative residuated lattices ⋮ New topology in residuated lattices

Cites Work

• On annihilators in BL-algebras
• Residuated lattices. An algebraic glimpse at substructural logics
• Mathematics behind fuzzy logic
• Metamathematics of fuzzy logic
• The prime and maximal spectra and the reticulation of BL-algebras
• New topology in residuated lattices
• The stable topology for residuated lattices
• MV-algebras derived from ideals in BL-algebras
• A topology induced by uniformity on BL-algebras
• On ideals in De Morgen residuated lattices
• Regularity in residuated lattices
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