Hilbert Coefficients and the Depth of Associated Graded Rings with Respect to Parameter Ideals

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
Hauptverfasser: Linh, Cao Huy, Trung, Van Duc
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Mathematics
Mathematics and Statistics
Parameters
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Zusammenfassung: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.
ISSN:2305-221X
2305-2228
DOI:10.1007/s10013-018-0327-6