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Quantale

In mathematics, quantales are certain partially ordered algebraic structures that generalize locales (point free topologies) as well as various multiplicative lattices of ideals from ring theory and functional analysis (C*-algebras, von Neumann algebras). Quantales are sometimes referred to as complete residuated semigroups.

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Quantale

Nodes31
Edges30
Triples35
Avg. degree1.94
Density0.064516
Components1

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Quantale

Top relations

related to References · 31
Quantale → Algebras, Castellan, Categories, Coecke, Computation, Current Research, Eds, EMS Press Archived, Encyclopedia, Fund, Journal, Kluwer Academic Publishers, Languages, Logic, Longman Scientific, Mathematics, Mathematics Series, Moore, Mulvey, Operational Quantum Logic
is a · 4
Quantale → complete lattice Q, idempotent semiring under join and multiplication.A unital quantale in which the identity is the top element of the underlying lattice is said to be strictly two-sided, quantale whose multiplication is idempotent, quantale with an involution

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Important terminology

multiplication quantales mathematics displaystyle unital complete idempotent strictly two-sided algebras monoid commutative frame locales lattices ideals lattice operation ast colon

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Quantaleis acomplete lattice Q0.90text
Quantaleis aidempotent semiring under join and multiplication.A unital quantale in which the identity is the top element of the underlying lattice is said to be strictly two-sided0.90text
Quantaleis aquantale whose multiplication is idempotent0.90text
Quantaleis aquantale with an involution0.90text
Quantalerelated to ReferencesMulvey0.60section
Quantalerelated to ReferencesEncyclopedia0.60section
Quantalerelated to ReferencesMathematics0.60section
Quantalerelated to ReferencesEMS Press Archived0.60section
Quantalerelated to ReferencesWayback MachineJ0.60section
Quantalerelated to ReferencesPaseka0.60section
Quantalerelated to ReferencesRosicky0.60section
Quantalerelated to ReferencesQuantales0.60section

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    Min side: 3
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