Bounded pseudo-hoops with internal states

DOI10.2478/s12175-013-0144-zzbMath1324.03029OpenAlexW2014312535MaRDI QIDQ5746299

Lavinia Corina Ciungu

Publication date: 18 February 2014

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-013-0144-z

zbMATH Keywords

state operatorGlivenko propertypseudo-hoop(mN) property(SO) propertyC-state operatoridempotent pseudo-hoopstate pseudo-hoopstate-morphism pseudo-hoopstrong state operator

Mathematics Subject Classification ID

Cut-elimination and normal-form theorems (03F05) Other algebras related to logic (03G25) MV-algebras (06D35)

Related Items (10)

Generalized Bosbach states. I ⋮ Characterization of monadic BL-algebras by state operators ⋮ Generalized state maps and states on pseudo equality algebras ⋮ Internal states on equality algebras ⋮ Minimal prime state filters and state radicals on state pseudo BL-algebras ⋮ State hoops ⋮ State maps on semihoops ⋮ States, state operators and quasi-pseudo-MV algebras ⋮ Commutative deductive systems of pseudo-BCK-algebras ⋮ Involutive filters of pseudo-hoops

Cites Work

• Generalized Bosbach states. II
• State operators on GMV algebras
• State BL-algebras
• Bosbach states on fuzzy structures
• Every linear pseudo BL-algebra admits a state
• State-morphism MV-algebras
• Generalized Bosbach states. I
• Local pseudo-BCK algebras with pseudo-product

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