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Associator

In abstract algebra, the term associator is used in different ways as a measure of the non-associativity of an algebraic structure. Associators are commonly studied as triple systems.

Ring theory, Higher-dimensional algebra & Category theory

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Ring theory

11 related topics

Higher-dimensional algebra

3 related topics

Category theory

3 related topics

Quasigroup theory

2 related topics

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Overview

Ring theory

Quasigroup theory

Higher-dimensional algebra

Category theory

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Map overview Semantic statistics

Associator

Nodes29
Edges28
Triples31
Avg. degree1.93
Density0.068966
Components1

How this topic connects Entity context

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Associator

Top relations

related to References · 19
Associator → Alternative Algebras, An Introduction, Bremner, Cite, CiteSeerX, Dover, Hentzel, Identities, ISBN, Journal, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, March, Nonassociative Algebras, Richard, Schafer, Symbolic Computation, Wikisource-logo
is a · 4
Associator → isomorphism a x, map, measure of nonassociativity of Q, multilinear map
related to Quasigroup theory · 2
Associator → As, In
related to Ring theory · 2
Associator → For, Just
see also · 2
Associator → CommutatorNon-associative, Drinfeld
related to Category theory · 1
Associator → In
related to Higher-dimensional algebra · 1
Associator → In

Important terminology Word statistics

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Important terminology

algebra ring quasigroup theory non-associativity displaystyle cdot times associative measure algebraic higher-dimensional category commutator set citeseerx non-associative map alternative cite

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Associatoris amultilinear map0.90text
Associatoris amap0.90text
Associatoris ameasure of nonassociativity of Q0.90text
Associatoris aisomorphism a x0.90text
Associatorrelated to Category theoryIn0.60section
Associatorrelated to Higher-dimensional algebraIn0.60section
Associatorrelated to Quasigroup theoryIn0.60section
Associatorrelated to Quasigroup theoryAs0.60section
Associatorrelated to ReferencesLock-green0.60section
Associatorrelated to ReferencesLock-gray-alt-20.60section
Associatorrelated to ReferencesLock-red-alt-20.60section
Associatorrelated to ReferencesWikisource-logo0.60section

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    Min side: 3
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