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Universal algebra

Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures in general, not specific types of algebraic structures. For instance, rather than considering groups or rings as the object of study—this is the subject of group theory and ring theory—in universal algebra, the object of study is the…

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Basic idea

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Basic constructions

Some basic theorems

Motivations and applications

Generalizations

History

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Universal algebra

Nodes113
Edges112
Triples47
Avg. degree1.98
Density0.017699
Components1

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Universal algebra

Top relations

related to history · 12
Universal algebra → Alexander Macfarlane, At, Augustus De Morgan, George Boole's, In, In Alfred North Whitehead's, James Joseph Sylvester, Lie, The, Treatise, Whitehead, William Rowan Hamilton
related to Basic constructions · 8
Universal algebra → And, For, Homomorphism, If, In, Sometimes, Then, We
related to Generalizations · 8
Universal algebra → Alternatively, At, However, In, Lawvere, The, Thus, Universal
has application · 5
Universal algebra → Before, In, It, Smith, What
related to Constraint satisfaction problem · 5
Universal algebra → CSP, CSPA, It, The, Universal
related to Equations · 3
Universal algebra → After, An, The
see also · 2
Universal algebra → Equational, Mathematics
related to Basic idea · 1
Universal algebra → In
related to External links · 1
Universal algebra → Algebra Universalis

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Important terminology

algebra universal algebraic operation structures category group operations algebras theory one element example also set binary equational identity inverse groups

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Lie algebrasinstance ofand James Joseph Sylvester with coining the term itself.At the time structures0.80text
hyperbolic quaternions drew attention to the need to expand algebraic structures beyond the associatively multiplicative classinstance ofand James Joseph Sylvester with coining the term itself.At the time structures0.80text
Universal algebrahas applicationIn0.60section
Universal algebrahas applicationIt0.60section
Universal algebrahas applicationSmith0.60section
Universal algebrahas applicationWhat0.60section
Universal algebrahas applicationBefore0.60section
Universal algebrarelated to Basic constructionsWe0.60section
Universal algebrarelated to Basic constructionsThen0.60section
Universal algebrarelated to Basic constructionsSometimes0.60section
Universal algebrarelated to Basic constructionsFor0.60section
Universal algebrarelated to Basic constructionsIf0.60section

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