Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:Hilbert_function
graded algebras polynomial rings |
| gptkbp:field |
gptkb:commutative_algebra
|
| gptkbp:namedAfter |
gptkb:Francis_Sowerby_Macaulay
|
| gptkbp:publicationYear |
1927
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:state |
The Hilbert function of a standard graded algebra over a field is non-increasing after a certain point and satisfies certain numerical conditions.
|
| gptkbp:bfsParent |
gptkb:commutative_algebra
|
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Macaulay's theorem
|