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- Q2835968 subject Q8234763.
- Q2835968 subject Q8399470.
- Q2835968 abstract "In mathematics, a finitely generated algebra (also called an algebra of finite type) 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.".
- Q2835968 wikiPageWikiLink Q1455652.
- Q2835968 wikiPageWikiLink Q1493740.
- Q2835968 wikiPageWikiLink Q180969.
- Q2835968 wikiPageWikiLink Q185478.
- Q2835968 wikiPageWikiLink Q190109.
- Q2835968 wikiPageWikiLink Q21083858.
- Q2835968 wikiPageWikiLink Q215111.
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- Q2835968 wikiPageWikiLink Q2602722.
- Q2835968 wikiPageWikiLink Q3554813.
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- Q2835968 wikiPageWikiLink Q582271.
- Q2835968 wikiPageWikiLink Q629933.
- Q2835968 wikiPageWikiLink Q6423024.
- Q2835968 wikiPageWikiLink Q656645.
- Q2835968 wikiPageWikiLink Q744960.
- Q2835968 wikiPageWikiLink Q8066794.
- Q2835968 wikiPageWikiLink Q8234763.
- Q2835968 wikiPageWikiLink Q8399470.
- Q2835968 wikiPageWikiLink Q858656.
- Q2835968 comment "In mathematics, a finitely generated algebra (also called an algebra of finite type) 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.".
- Q2835968 label "Finitely generated algebra".