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1. Upper bounds on two Hilbert coefficients

Author

Dung, Le Xuan, Elias, Juan, and Hoa, Le Tuan

Subjects
Mathematics - Commutative Algebra, 13D40, 13H10, 13D45
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., Comment: 22 pages

Published
2022

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