Hilbert Coefficients and the Depth of Associated Graded Rings with Respect to Parameter Ideals
In this paper, we investigate the non-positivity for the Hilbert coefficients of parameter ideals. Moreover, we establish a relationship between the vanishing of Hilbert coefficients and the depth of associated graded rings with respect to parameter ideals in the case of small regularity.
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| Veröffentlicht in: | Vietnam journal of mathematics 2019-06, Vol.47 (2), p.431-442 |
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| container_end_page | 442 |
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| container_issue | 2 |
| container_start_page | 431 |
| container_title | Vietnam journal of mathematics |
| container_volume | 47 |
| creator | Linh, Cao Huy Trung, Van Duc |
| description | In this paper, we investigate the non-positivity for the Hilbert coefficients of parameter ideals. Moreover, we establish a relationship between the vanishing of Hilbert coefficients and the depth of associated graded rings with respect to parameter ideals in the case of small regularity. |
| doi_str_mv | 10.1007/s10013-018-0327-6 |
| format | Article |
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| ispartof | Vietnam journal of mathematics, 2019-06, Vol.47 (2), p.431-442 |
| issn | 2305-221X 2305-2228 |
| language | eng |
| recordid | cdi_proquest_journals_2266400724 |
| source | SpringerNature Journals |
| subjects | Coefficients Mathematics Mathematics and Statistics Parameters |
| title | Hilbert Coefficients and the Depth of Associated Graded Rings with Respect to Parameter Ideals |
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