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- Finitely_generated_algebra abstract "In mathematics, a finitely generated algebra is an associative algebra A over a field K where there exists a finite set of elements a1,…,an of A such that every element of A can be expressed as a polynomial in a1,…,an, with coefficients in K. If it is necessary to emphasize the field K then the algebra is said to be finitely generated over K . Algebras that are not finitely generated are called infinitely generated. Finitely generated reduced commutative algebras are basic objects of consideration in modern algebraic geometry, where they correspond to affine algebraic varieties; for this reason, these algebras are also referred to as (commutative) affine algebras.".
- Finitely_generated_algebra wikiPageID "11985661".
- Finitely_generated_algebra wikiPageLength "2449".
- Finitely_generated_algebra wikiPageOutDegree "25".
- Finitely_generated_algebra wikiPageRevisionID "668324919".
- Finitely_generated_algebra wikiPageWikiLink Adjunction_(field_theory).
- Finitely_generated_algebra wikiPageWikiLink Affine_algebraic_variety.
- Finitely_generated_algebra wikiPageWikiLink Affine_variety.
- Finitely_generated_algebra wikiPageWikiLink Algebraic_geometry.
- Finitely_generated_algebra wikiPageWikiLink Associative_algebra.
- Finitely_generated_algebra wikiPageWikiLink Category:Algebras.
- Finitely_generated_algebra wikiPageWikiLink Category:Commutative_algebra.
- Finitely_generated_algebra wikiPageWikiLink Commutative_ring.
- Finitely_generated_algebra wikiPageWikiLink Countable.
- Finitely_generated_algebra wikiPageWikiLink Countable_set.
- Finitely_generated_algebra wikiPageWikiLink Field_(mathematics).
- Finitely_generated_algebra wikiPageWikiLink Field_extension.
- Finitely_generated_algebra wikiPageWikiLink Finite_field_extension.
- Finitely_generated_algebra wikiPageWikiLink Finitely_generated_field_extension.
- Finitely_generated_algebra wikiPageWikiLink Finitely_generated_group.
- Finitely_generated_algebra wikiPageWikiLink Finitely_generated_module.
- Finitely_generated_algebra wikiPageWikiLink Generating_set_of_a_group.
- Finitely_generated_algebra wikiPageWikiLink Group_ring.
- Finitely_generated_algebra wikiPageWikiLink Hilberts_basis_theorem.
- Finitely_generated_algebra wikiPageWikiLink Homomorphism.
- Finitely_generated_algebra wikiPageWikiLink Ideal_(ring_theory).
- Finitely_generated_algebra wikiPageWikiLink Integral_element.
- Finitely_generated_algebra wikiPageWikiLink Integral_extension.
- Finitely_generated_algebra wikiPageWikiLink Mathematics.
- Finitely_generated_algebra wikiPageWikiLink Noetherian_ring.
- Finitely_generated_algebra wikiPageWikiLink Polynomial.
- Finitely_generated_algebra wikiPageWikiLink Polynomial_algebra.
- Finitely_generated_algebra wikiPageWikiLink Polynomial_ring.
- Finitely_generated_algebra wikiPageWikiLink Rational_function.
- Finitely_generated_algebra wikiPageWikiLink Reduced_ring.
- Finitely_generated_algebra wikiPageWikiLink Subalgebra.
- Finitely_generated_algebra wikiPageWikiLink Zariskis_lemma.
- Finitely_generated_algebra wikiPageWikiLinkText "Affine".
- Finitely_generated_algebra wikiPageWikiLinkText "Finitely generated algebra".
- Finitely_generated_algebra wikiPageWikiLinkText "finitely generated (commutative) ''k''-algebras".
- Finitely_generated_algebra wikiPageWikiLinkText "finitely generated algebra".
- Finitely_generated_algebra wikiPageWikiLinkText "finitely generated".
- Finitely_generated_algebra hasPhotoCollection Finitely_generated_algebra.
- Finitely_generated_algebra wikiPageUsesTemplate Template:Algebra-stub.
- Finitely_generated_algebra wikiPageUsesTemplate Template:Unreferenced.
- Finitely_generated_algebra subject Category:Algebras.
- Finitely_generated_algebra subject Category:Commutative_algebra.
- Finitely_generated_algebra hypernym Algebra.
- Finitely_generated_algebra type Article.
- Finitely_generated_algebra type Algebra.
- Finitely_generated_algebra type Article.
- Finitely_generated_algebra comment "In mathematics, a finitely generated algebra is an associative algebra A over a field K where there exists a finite set of elements a1,…,an of A such that every element of A can be expressed as a polynomial in a1,…,an, with coefficients in K. If it is necessary to emphasize the field K then the algebra is said to be finitely generated over K . Algebras that are not finitely generated are called infinitely generated.".
- Finitely_generated_algebra label "Finitely generated algebra".
- Finitely_generated_algebra sameAs Algèbre_de_type_fini.
- Finitely_generated_algebra sameAs אלגברה_אפינית.
- Finitely_generated_algebra sameAs m.02vkzd7.
- Finitely_generated_algebra sameAs Q2835968.
- Finitely_generated_algebra sameAs Q2835968.
- Finitely_generated_algebra wasDerivedFrom Finitely_generated_algebra?oldid=668324919.
- Finitely_generated_algebra isPrimaryTopicOf Finitely_generated_algebra.