Upper bounds on two Hilbert coefficients

Dung, Le XuanElías García, JoanHoa, Le Tuan2025-04-022025-04-022023-11-010021-8693https://hdl.handle.net/2445/220182New 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.28 p.application/pdfengcc-by-nc-nd (c) Le Xuan Dung et al., 2023http://creativecommons.org/licenses/by-nc-nd/4.0/HomologiaÀlgebres de HilbertAnells localsHomologyHilbert algebrasLocal ringsUpper bounds on two Hilbert coefficientsinfo:eu-repo/semantics/article7450852025-04-02info:eu-repo/semantics/openAccess