Abstract | ||
---|---|---|
We prove a theorem, which provides a formula for the computation of the Poincaré series of a monomial ideal ink[X1,?, Xn], via the computation of the Poincaré series of some monomial ideals ink[X1,?, Xi,?, Xn]. The complexity of our algorithm is optimal for Borel-normed ideals and an implementation in CoCoA strongly confirms its efficiency. An easy extension computes the Poincaré series of graded modules over standard algebras. |
Year | DOI | Venue |
---|---|---|
1991 | 10.1007/BF01810852 | Appl. Algebra Eng. Commun. Comput. |
Keywords | Field | DocType |
poincar6 series,borel-normed ideals,hilbert functions,hilbert function | Poincaré series,Discrete mathematics,Monomial ideal,Monomial,Hilbert–Poincaré series,Mathematics,Computation | Journal |
Volume | Issue | Citations |
2 | 1 | 7 |
PageRank | References | Authors |
1.33 | 7 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Anna Maria Bigatti | 1 | 44 | 14.97 |
Massimo Caboara | 2 | 66 | 10.74 |
lorenzo robbiano | 3 | 288 | 68.53 |