Hilbert–Samuel function
id:
hilbert-samuel-function-266-1572096
title:
Hilbert–Samuel function
text:
In commutative algebra the Hilbert–Samuel function, named after David Hilbert and Pierre Samuel, of a nonzero finitely generated module M over a commutative Noetherian local ring A and a primary ideal I of A is the map χ M I : N → N such that, for all n ∈ N , where ℓ denotes the length over A . It is related to the Hilbert function of the associated graded module gr I by the identity For sufficiently large n , it coincides with a polynomial function of degree equal to dim , often called the
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Hilbert%E2%80%93Samuel_function
date created:
date modified:
2023-02-06T07:21:34Z
main entity:
{"identifier":"Q5761248","url":"https://www.wikidata.org/entity/Q5761248"}
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