Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Noetherian local rings
finitely generated modules |
| gptkbp:field |
gptkb:commutative_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Auslander–Buchsbaum formula
|
| gptkbp:namedAfter |
gptkb:David_Buchsbaum
gptkb:Maurice_Auslander |
| gptkbp:publicationYear |
1957
|
| gptkbp:publishedIn |
gptkb:Transactions_of_the_American_Mathematical_Society
|
| gptkbp:relatedTo |
depth
projective dimension |
| gptkbp:sentence |
If M is a nonzero finitely generated module over a Noetherian local ring R, then pd_R(M) + depth(M) = depth(R).
|
| gptkbp:bfsParent |
gptkb:commutative_algebra
|
| gptkbp:bfsLayer |
5
|