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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.
- Variety_(universal_algebra) wikiPageID "1021753".
- Variety_(universal_algebra) wikiPageRevisionID "543616687".
- Variety_(universal_algebra) hasPhotoCollection Variety_(universal_algebra).
- Variety_(universal_algebra) subject Category:Universal_algebra.
- 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) label "Variété (algèbre)".
- Variety_(universal_algebra) sameAs Varieta_algeber.
- Variety_(universal_algebra) sameAs Variété_(algèbre).
- 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=543616687.
- Variety_(universal_algebra) isPrimaryTopicOf Variety_(universal_algebra).