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Upper bounds on two Hilbert coefficients

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.

preprint2022arXivOpen access
Le Xuan DungJuan EliasLe Tuan Hoa
math.AC
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Open access3 authors1 topic
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Le Xuan DungJuan EliasLe Tuan Hoa

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