On the structure of pseudo BL-algebras and pseudo hoops in quantum logics

DOI10.1007/S10701-009-9342-5zbMath1227.81012OpenAlexW1979998081MaRDI QIDQ535622

Anatolij Dvurečenskij, Roberto Giuntini, Tomasz Kowalski

Publication date: 13 May 2011

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-009-9342-5

zbMATH Keywords

statelattice-ordered groupquantum logicpseudo MV-algebraunital \(\ell \)-groupŁukasiewicz logicWajsberg algebra\(\ell \)-groupgood pseudo BL-algebrapseudo hoop

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) MV-algebras (06D35) Many-valued logic (03B50) Quantum logic (03G12)

Related Items (16)

States on quantum and algebraic structures and their integral representation ⋮ Kites and residuated lattices ⋮ On pseudo-BL-algebras and pseudo-hoops with normal maximal filters ⋮ On a new construction of pseudo BL-algebras ⋮ How Do $$\ell $$-Groups and Po-Groups Appear in Algebraic and Quantum Structures? ⋮ On normal-valued basic pseudo-hoops ⋮ On fuzzy filters of pseudo BL-algebras ⋮ Quantum structures versus partially ordered groups ⋮ Filters on some classes of quantum B-algebras ⋮ State operators on generalizations of fuzzy structures ⋮ States on quantum structures versus integrals ⋮ Kites and pseudo BL-algebras. ⋮ On decomposition of pseudo BL-algebras ⋮ Kite pseudo effect algebras ⋮ Involutive filters of pseudo-hoops ⋮ Solution to open problems on fuzzy filters in logical algebras and secure communication encoding scheme on filters

Uses Software

• Pseudo Hoops

Cites Work

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