Hilbert series and Hilbert polynomial

id: hilbert-series-and-hilbert-polynomial-239-6970313
title: Hilbert series and Hilbert polynomial
text: In commutative algebra, the Hilbert function, the Hilbert polynomial, and the Hilbert series of a graded commutative algebra finitely generated over a field are three strongly related notions which measure the growth of the dimension of the homogeneous components of the algebra. These notions have been extended to filtered algebras, and graded or filtered modules over these algebras, as well as to coherent sheaves over projective schemes. The typical situations where these notions are used are t
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category slug: encyclopedia
description: Tool in mathematical dimension theory
original url: https://en.wikipedia.org/wiki/Hilbert_series_and_Hilbert_polynomial
date created:
date modified: 2023-03-09T14:57:58Z
main entity: {"identifier":"Q5761236","url":"https://www.wikidata.org/entity/Q5761236"}
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fields total: 13
integrity: 14

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