Upper bounds on two Hilbert coefficients
نویسندگان
چکیده
New upper bounds on the first and second Hilbert coefficients of a Cohen-Macaulay module over local ring are given. Characterizations provided for some to be attained. The characterizations given in terms series as well Castelnuovo-Mumford regularity associated graded module.
منابع مشابه
Upper Bounds of Hilbert Coefficients and Hilbert Functions
Abstract. Let (R,m) be a d-dimensional Cohen-Macaulay local ring. In this note we prove, in a very elementary way, an upper bound of the first normalized Hilbert coefficient of a mprimary ideal I ⊂ R that improves all known upper bounds unless for a finite number of cases, see Remark 1.3. We also provide new upper bounds of the Hilbert functions of I extending the known bounds for the maximal i...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2023
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2023.06.036