Name
Abstract | ||
|---|---|---|
We study the number of generators of ideals in regular rings and ask the question whether mu(I) < mu(I-2) if I is not a principal ideal, where mu(J) denotes the number of generators of an ideal J. We provide lower bounds for the number of generators for the powers of an ideal and also show that the CM-type of I-2 is >= 3 if I is a monomial ideal of height n in K[x(1), ... , x(n)] and n >= 3. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1142/S0218196719500309 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
Monomial ideals, powers of ideals, number of generators, Cohen-Macaulay type | Discrete mathematics,Ask price,Principal ideal,Mathematics | Journal |
Volume | Issue | ISSN |
29 | 5 | 0218-1967 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jürgen Herzog | 1 | 1 | 2.65 |
| Maryam Mohammadei Saem | 2 | 0 | 0.34 |
| Naser Zamani | 3 | 3 | 0.81 |