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2023-11-01

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cc-by-nc-nd (c) Le Xuan Dung et al., 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/220182

Upper bounds on two Hilbert coefficients

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https://doi.org/10.1016/j.jalgebra.2023.06.036

Abstract

New upper bounds on the first and the second Hilbert coefficients of a Cohen-Macaulay module over a local ring are given. Characterizations are provided for some upper bounds to be attained. The characterizations are given in terms of Hilbert series as well as in terms of the Castelnuovo-Mumford regularity of the associated graded module.

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Homologia, Àlgebres de Hilbert, Anells locals

Subject (English)

Homology, Hilbert algebras, Local rings

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

DUNG, Le Xuan, ELÍAS GARCÍA, Joan i HOA, Le Tuan. Upper bounds on two Hilbert coefficients. Journal of Algebra. 2023. Vol. 633, núm. 563-590. ISSN 0021-8693. [consulta: 10 de maig de 2026]. Disponible a: https://hdl.handle.net/2445/220182

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