Name
Abstract | ||
|---|---|---|
This paper discusses a computational treatment of the localization A(L) of an affine coordinate ring A at a prime ideal L and its associated graded algebra Gr(a)(A(L)) with the means of computer algebra. Building on Mora's paper [T. Mora, La queste del Saint Gra(AL): A computational approach to local algebra, Discrete Appl. Math. 33 (1991) 161-190], we present shorter proofs on two of the central statements and expand on the applications touched by Mora: resolutions of ideals, systems of parameters and Hilbert polynomials, as well as dimension and regularity of A(L). All algorithms are implemented in the library graal. lib for the computer algebra system SINGULAR. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1142/S0218196715500332 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
Local ring, associated graded algebra, localization, resolution | Prime (order theory),Discrete mathematics,Algebra,Graded ring,Affine variety,Symbolic computation,Algorithm,Local ring,Filtered algebra,Prime ideal,Cellular algebra,Mathematics | Journal |
Volume | Issue | ISSN |
25 | 7 | 0218-1967 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Magdaleen S. Marais | 1 | 0 | 1.69 |
| Yue Ren | 2 | 1 | 3.90 |