State-morphism MV-algebras

DOI10.1016/j.apal.2009.05.003zbMath1186.06007arXiv1102.1088OpenAlexW2072707724MaRDI QIDQ1035651

Anatolij Dvurečenskij, Antonio Di Nola

Publication date: 4 November 2009

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1088

zbMATH Keywords

stateMV-algebrastate-morphismextremal statestate MV-algebrastate-morphism MV-algebra

Mathematics Subject Classification ID

MV-algebras (06D35) Many-valued logic (03B50) Quantum logic (03G12)

Related Items (41)

Stone Duality Type Theorems for MV-Algebras with Internal State ⋮ MV-pairs and state operators ⋮ Franco Montagna's work on provability logic and many-valued logic ⋮ Characterization of monadic BL-algebras by state operators ⋮ Internal states on equality algebras ⋮ Minimal prime state filters and state radicals on state pseudo BL-algebras ⋮ Relationships between generalized Bosbach states and \(L\)-filters on residuated lattices ⋮ Generalized Bosbach and Riečan states on nucleus-based-Glivenko residuated lattices ⋮ How Do $$\ell $$-Groups and Po-Groups Appear in Algebraic and Quantum Structures? ⋮ State-morphism pseudo-effect algebras ⋮ Subdirectly irreducible state-morphism BL-algebras ⋮ State operators on GMV algebras ⋮ The inheritance of BDE-property in sharply dominating lattice effect algebras and \((o)\)-continuous states ⋮ Generalized Bosbach and Riečan states based on relative negations in residuated lattices ⋮ State operators on generalizations of fuzzy structures ⋮ States and internal states on semihoops ⋮ State BL-algebras ⋮ Erratum to ``State-morphism MV-algebras ⋮ SOME CLASSES OF STATE IDEALS IN STATE MV -ALGEBRAS ⋮ Unnamed Item ⋮ State morphism MV-algebras ⋮ State hoops ⋮ On states and state operators on certain basic algebras ⋮ STONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES ⋮ ON THE LOOMIS–SIKORSKI THEOREM FOR MV-ALGEBRAS WITH INTERNAL STATE ⋮ Algebraic study to generalized Bosbach states on residuated lattices ⋮ Open problems from the 12th international conference on fuzzy set theory and its applications ⋮ States, state operators and quasi-pseudo-MV algebras ⋮ Loomis-Sikorski theorem and Stone duality for effect algebras with internal state ⋮ Bounded pseudo-hoops with internal states ⋮ The semiring-theoretic approach to MV-algebras: a survey ⋮ On varieties of MV-algebras with internal states ⋮ State filters on fuzzy structures with internal states ⋮ Commutative deductive systems of pseudo-BCK-algebras ⋮ EQ-algebras with internal states ⋮ Involutive filters of pseudo-hoops ⋮ Hybrid generalized Bosbach and Rie c̆ an states on non-commutative residuated lattices ⋮ On some classes of state-morphism MV-algebras ⋮ On residuated lattices with left and right internal state ⋮ On EMV-algebras ⋮ State BCK-algebras and state-morphism BCK-algebras.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Every state on semisimple MV-algebra is integral
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Tensor products and the Loomis-Sikorski theorem for MV-algebras
• Perfect MV-algebras are categorically equivalent to Abelian \(l\)-groups
• MV-algebras with operators (the commutative and the non-commutative case).
• Algebraic foundations of many-valued reasoning
• Averaging the truth-value in Łukasiewicz logic
• De Finetti theorem and Borel states in \([0, 1\)-valued algebraic logic]
• Algebraic Analysis of Many Valued Logics

This page was built for publication: State-morphism MV-algebras