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Finitely generated algebra

In mathematics, a finitely generated algebra (also called an algebra of finite type) over a (commutative) ring R {\displaystyle R} , or a finitely generated R {\displaystyle R} -algebra for short, is a commutative associative algebra A {\displaystyle A} defined by ring homomorphism f : R → A {\displaystyle f:R\to A} , such that every element of A…

Examples, Relation with affine varieties & Finite algebras vs algebras of finite type

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Relation with affine varieties

Finite algebras vs algebras of finite type

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Finitely generated algebra

Nodes53
Edges52
Triples15
Avg. degree1.96
Density0.037736
Components1

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Finitely generated algebra

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related to Examples · 12
Finitely generated algebra → Conversely, E/F, If, KG, On, Quadratic, R-algebras, R-modules, See, The, This, Zariski's
related to Properties · 3
Finitely generated algebra → Hilbert's, However, Noetherian

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displaystyle generated finitely algebra finite -algebra polynomial type ring dots homomorphism commutative coefficients element algebras field called associative every generators

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SubjectPredicateObjectConfidenceSrc
Finitely generated algebrarelated to ExamplesThe0.60section
Finitely generated algebrarelated to ExamplesOn0.60section
Finitely generated algebrarelated to ExamplesIf0.60section
Finitely generated algebrarelated to ExamplesE/F0.60section
Finitely generated algebrarelated to ExamplesConversely0.60section
Finitely generated algebrarelated to ExamplesThis0.60section
Finitely generated algebrarelated to ExamplesZariski's0.60section
Finitely generated algebrarelated to ExamplesSee0.60section
Finitely generated algebrarelated to ExamplesKG0.60section
Finitely generated algebrarelated to ExamplesQuadratic0.60section
Finitely generated algebrarelated to ExamplesR-algebras0.60section
Finitely generated algebrarelated to ExamplesR-modules0.60section

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