Free nilpotent minimum algebras

DOI10.1002/malq.200510027zbMath1101.03043OpenAlexW2004682264MaRDI QIDQ5485396

Manuela Busaniche

Publication date: 30 August 2006

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.200510027

zbMATH Keywords

free algebrasGödel algebrasNM-algebradisconnected rotationsconnected rotations

Mathematics Subject Classification ID

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

Related Items

Co-rotation constructions of residuated semigroups ⋮ Normal forms and free algebras for some extensions of MTL ⋮ Three and two-valued Łukasiewicz theories in the formal deductive system \({\mathcal L}^*\) (NM-logic) ⋮ First-order nilpotent minimum logics: first steps ⋮ Projectivity and unification in substructural logics of generalized rotations ⋮ Stone-like representation theorems and three-valued filters in \(R_{0}\)- algebras (nilpotent minimum algebras) ⋮ Co-rotation-annihilations of residuated semigroups ⋮ Free weak nilpotent minimum algebras ⋮ Algebraic structures related to nilpotent minimum algebras and rough sets1 ⋮ Characterizations of maximal consistent theories in the formal deductive system \(\mathcal L^{*}\) (NM-logic) and Cantor space ⋮ STONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES ⋮ Boolean products of R0-algebras ⋮ Probability measures in the logic of nilpotent minimum ⋮ Finitary extensions of the nilpotent minimum logic and (almost) structural completeness ⋮ Representation by triples of algebras with an MV-retract ⋮ A temporal semantics for nilpotent minimum logic

Cites Work

• Unnamed Item
• Algebraic foundations of many-valued reasoning