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- Variety_(universal_algebra) abstract "In mathematics, specifically universal algebra, a variety of algebras is the class of all algebraic structures of a given signature satisfying a given set of identities. Equivalently, a variety is a class of algebraic structures of the same signature that is closed under the taking of homomorphic images, subalgebras and (direct) products. In the context of category theory, a variety of algebras is usually called a finitary algebraic category.A covariety is the class of all coalgebraic structures of a given signature.A variety of algebras should not be confused with an algebraic variety. Intuitively, a variety of algebras is an equationally defined collection of algebras, while an algebraic variety is an equationally defined collection of elements from a single algebra. The two are named alike by analogy, but they are formally quite distinct and their theories have little in common.".
- Variety_(universal_algebra) wikiPageExternalLink ualg.html.
- Variety_(universal_algebra) wikiPageExternalLink JipsenRoseVoL.html.
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- Variety_(universal_algebra) wikiPageOutDegree "48".
- Variety_(universal_algebra) wikiPageRevisionID "639854231".
- Variety_(universal_algebra) wikiPageWikiLink Abelian_group.
- Variety_(universal_algebra) wikiPageWikiLink Absorption_law.
- Variety_(universal_algebra) wikiPageWikiLink Algebraic_structure.
- Variety_(universal_algebra) wikiPageWikiLink Algebraic_variety.
- Variety_(universal_algebra) wikiPageWikiLink Arity.
- Variety_(universal_algebra) wikiPageWikiLink Boolean_algebra.
- Variety_(universal_algebra) wikiPageWikiLink Boolean_ring.
- Variety_(universal_algebra) wikiPageWikiLink Category:Universal_algebra.
- Variety_(universal_algebra) wikiPageWikiLink Category_theory.
- Variety_(universal_algebra) wikiPageWikiLink Class_(set_theory).
- Variety_(universal_algebra) wikiPageWikiLink Closure_(mathematics).
- Variety_(universal_algebra) wikiPageWikiLink Commutative_algebra.
- Variety_(universal_algebra) wikiPageWikiLink Commutative_law.
- Variety_(universal_algebra) wikiPageWikiLink Commutative_property.
- Variety_(universal_algebra) wikiPageWikiLink Comparison_functor.
- Variety_(universal_algebra) wikiPageWikiLink Direct_product.
- Variety_(universal_algebra) wikiPageWikiLink Eilenbergs_theorem.
- Variety_(universal_algebra) wikiPageWikiLink Eilenberg–Moore_category.
- Variety_(universal_algebra) wikiPageWikiLink F-coalgebra.
- Variety_(universal_algebra) wikiPageWikiLink Forgetful_functor.
- Variety_(universal_algebra) wikiPageWikiLink Formal_language.
- Variety_(universal_algebra) wikiPageWikiLink Garrett_Birkhoff.
- Variety_(universal_algebra) wikiPageWikiLink Group_(mathematics).
- Variety_(universal_algebra) wikiPageWikiLink Homomorphism.
- Variety_(universal_algebra) wikiPageWikiLink Identity_(mathematics).
- Variety_(universal_algebra) wikiPageWikiLink Lattice_(order).
- Variety_(universal_algebra) wikiPageWikiLink Mathematical_Proceedings_of_the_Cambridge_Philosophical_Society.
- Variety_(universal_algebra) wikiPageWikiLink Mathematical_identity.
- Variety_(universal_algebra) wikiPageWikiLink Mathematics.
- Variety_(universal_algebra) wikiPageWikiLink Model_theory.
- Variety_(universal_algebra) wikiPageWikiLink Monad_(category_theory).
- Variety_(universal_algebra) wikiPageWikiLink Operation_(mathematics).
- Variety_(universal_algebra) wikiPageWikiLink Proceedings_of_the_Cambridge_Philosophical_Society.
- Variety_(universal_algebra) wikiPageWikiLink Quasivariety.
- Variety_(universal_algebra) wikiPageWikiLink Regular_language.
- Variety_(universal_algebra) wikiPageWikiLink Semigroup.
- Variety_(universal_algebra) wikiPageWikiLink Sigma-algebra.
- Variety_(universal_algebra) wikiPageWikiLink Sigma_algebra.
- Variety_(universal_algebra) wikiPageWikiLink Signature_(logic).
- Variety_(universal_algebra) wikiPageWikiLink Subalgebra.
- Variety_(universal_algebra) wikiPageWikiLink Theorem.
- Variety_(universal_algebra) wikiPageWikiLink Universal_algebra.
- Variety_(universal_algebra) wikiPageWikiLink Universal_quantification.
- Variety_(universal_algebra) wikiPageWikiLink Universally_quantified.
- Variety_(universal_algebra) wikiPageWikiLinkText "Birkhoff's HSP Theorem".
- Variety_(universal_algebra) wikiPageWikiLinkText "Varieties".
- Variety_(universal_algebra) wikiPageWikiLinkText "Variety (universal algebra)".
- Variety_(universal_algebra) wikiPageWikiLinkText "Variety (universal_algebra)".
- Variety_(universal_algebra) wikiPageWikiLinkText "Variety".
- Variety_(universal_algebra) wikiPageWikiLinkText "defining identity".
- Variety_(universal_algebra) wikiPageWikiLinkText "equational class".
- Variety_(universal_algebra) wikiPageWikiLinkText "equational laws".
- Variety_(universal_algebra) wikiPageWikiLinkText "projective algebra".
- Variety_(universal_algebra) wikiPageWikiLinkText "subvariety".
- Variety_(universal_algebra) wikiPageWikiLinkText "varieties in the sense of universal algebra".
- Variety_(universal_algebra) wikiPageWikiLinkText "varieties of algebras".
- Variety_(universal_algebra) wikiPageWikiLinkText "varieties of group".
- Variety_(universal_algebra) wikiPageWikiLinkText "varieties of groups".
- Variety_(universal_algebra) wikiPageWikiLinkText "varieties".
- Variety_(universal_algebra) wikiPageWikiLinkText "variety of algebras".
- Variety_(universal_algebra) wikiPageWikiLinkText "variety".
- Variety_(universal_algebra) hasPhotoCollection Variety_(universal_algebra).
- Variety_(universal_algebra) wikiPageUsesTemplate Template:About.
- Variety_(universal_algebra) wikiPageUsesTemplate Template:Citation.
- Variety_(universal_algebra) subject Category:Universal_algebra.
- Variety_(universal_algebra) hypernym Class.
- Variety_(universal_algebra) comment "In mathematics, specifically universal algebra, a variety of algebras is the class of all algebraic structures of a given signature satisfying a given set of identities. Equivalently, a variety is a class of algebraic structures of the same signature that is closed under the taking of homomorphic images, subalgebras and (direct) products.".
- Variety_(universal_algebra) label "Variety (universal algebra)".
- Variety_(universal_algebra) sameAs Varieta_algeber.
- Variety_(universal_algebra) sameAs Variété_(algèbre).
- Variety_(universal_algebra) sameAs מגוון_(תורת_החבורות).
- Variety_(universal_algebra) sameAs 대수_구조_다양체.
- Variety_(universal_algebra) sameAs m.03_0vs.
- Variety_(universal_algebra) sameAs Q3502010.
- Variety_(universal_algebra) sameAs Q3502010.
- Variety_(universal_algebra) wasDerivedFrom Variety_(universal_algebra)?oldid=639854231.
- Variety_(universal_algebra) isPrimaryTopicOf Variety_(universal_algebra).