A new approach for classification of filters in residuated lattices

DOI10.1016/j.fss.2014.07.022zbMath1335.03070OpenAlexW2066547432MaRDI QIDQ277573

Dana Piciu, Dumitru Buşneag

Publication date: 2 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.fss.2014.07.022

zbMATH Keywords

Boolean algebraequational classesvarietiesMV-algebraBL-algebraBoolean deductive systemBoolean filterdeductive systemeasy filterfantastic filterHilbert algebraimplicative deductive systemimplicative filterlatticeal filterMV-filterpositive implicative filterresiduated latticeTarski algebra

Mathematics Subject Classification ID

Other algebras related to logic (03G25)

Related Items

Several types of filters related to the Stonean axiom in residuated lattices, \(n\)-fold Heyting, Boolean and pseudo-MV filters in residuated lattices, Classes of pseudo BL-algebras with right Boolean lifting property, Unnamed Item, Relationships between generalized Bosbach states and \(L\)-filters on residuated lattices, On fuzzy congruence relation in residuated lattices, Hybrid generalized Bosbach and Rie c̆ an states on non-commutative residuated lattices, Intuitionistic fuzzy filter theory on residuated lattices, On the relationships between hybrid generalized Bosbach states and \(L\)-filters in non-commutative residuated lattices

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