Stone-like representation theorems and three-valued filters in \(R_{0}\)- algebras (nilpotent minimum algebras)
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Publication:622081
DOI10.1016/j.fss.2010.09.005zbMath1213.03081OpenAlexW1986679906MaRDI QIDQ622081
Publication date: 31 January 2011
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2010.09.005
maximal filterfinite square intersection propertynilpotent minimum algebrasprime ideal theoremStone representation theorem
Other algebras related to logic (03G25) Stone spaces (Boolean spaces) and related structures (06E15)
Related Items (18)
Several types of filters related to the Stonean axiom in residuated lattices ⋮ Characterizations and new subclasses of \(\mathcal{I}\)-filters in residuated lattices ⋮ Relationships between generalized Bosbach states and \(L\)-filters on residuated lattices ⋮ Generalized Bosbach and Riečan states on nucleus-based-Glivenko residuated lattices ⋮ Generalized Bosbach and Riečan states based on relative negations in residuated lattices ⋮ Prime fuzzy (implicative) MP-filters of R0-algebras ⋮ Algebraic structures related to nilpotent minimum algebras and rough sets1 ⋮ STONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES ⋮ Some further results about uninorms on bounded lattices ⋮ Characterizations of fuzzy ideals in coresiduated lattices ⋮ Rough approximation operators on \(R_0\)-algebras (nilpotent minimum algebras) with an application in formal logic \(\mathcal{L}^\ast\) ⋮ Nuclei and conuclei on residuated lattices ⋮ The lattice of prefilters of an EQ-algebra ⋮ Normal unisoft filters in -algebras ⋮ On the relationships between hybrid generalized Bosbach states and \(L\)-filters in non-commutative residuated lattices ⋮ The properties of \(\models\)-filters of a topological system ⋮ Some weaker versions of topological residuated lattices ⋮ Stone algebras: 3-valued logic and rough sets
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