States on commutative basic algebras

DOI10.1016/J.FSS.2011.07.010zbMath1266.03070OpenAlexW2090883004MaRDI QIDQ427918

Michal Botur, Jan Kühr, Radomír Halaš

Publication date: 18 June 2012

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2011.07.010

zbMATH Keywords

representabilityMV-algebrastate-morphismcommutative basic algebrade Finetti's coherence criterionMV-ideal

Mathematics Subject Classification ID

Other algebras related to logic (03G25) MV-algebras (06D35)

Related Items (11)

States on implication basic algebras ⋮ Relationships between generalized Bosbach states and \(L\)-filters on residuated lattices ⋮ On non-associative generalizations of MV-algebras and lattice-ordered commutative loops ⋮ Ideals and congruences of basic algebras ⋮ Interior and closure operators on commutative basic algebras ⋮ On states and state operators on certain basic algebras ⋮ Algebraic study to generalized Bosbach states on residuated lattices ⋮ New types of generalized Bosbach states on non-commutative residuated lattices ⋮ Unnamed Item ⋮ Hybrid generalized Bosbach and Rie c̆ an states on non-commutative residuated lattices ⋮ On the relationships between hybrid generalized Bosbach states and \(L\)-filters in non-commutative residuated lattices

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