The prime and maximal spectra and the reticulation of BL-algebras

DOI10.2478/BF02475217zbMath1039.03052OpenAlexW2013475726MaRDI QIDQ1407203

Laurenţiu Leuştean

Publication date: 10 February 2004

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/bf02475217

zbMATH Keywords

hull-kernel topologyMV-algebrabasic logicBL-algebraspectral spaceprime spectrummaximal spectrumbounded distributive latticereticulation functor

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Other algebras related to logic (03G25) MV-algebras (06D35)

Related Items (14)

The stable topology for residuated lattices ⋮ PURE IDEALS AND STABLE TOPOLOGY IN BL-ALGEBRAS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An investigation on Boolean prime filters in BL-algebras ⋮ The Belluce-lattice associated with a bounded Hilbert algebra ⋮ Prime, minimal prime and maximal ideals spaces in residuated lattices ⋮ The prime and maximal spectra and the reticulation of residuated lattices with applications to De Morgan residuated lattices ⋮ The going-up and going-down theorems in residuated lattices ⋮ The properties of \(\models\)-filters of a topological system ⋮ \(n\)-normal residuated lattices ⋮ The spectra and reticulation of EQ-algebras ⋮ The hull-kernel topology on prime filters in residuated lattices ⋮ Spectra and reticulation of semihoops

Cites Work

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• Mathematics behind fuzzy logic
• Reticulated rings
• Metamathematics of fuzzy logic
• Boolean products of BL-algebras
• Relative annihilators in lattices
• Lattices and topological spaces
• Semisimple Algebras of Infinite Valued Logic and Bold Fuzzy Set Theory
• Spectral spacess and non-commutative rings
• Normal lattices

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