Maximality Properties In Numerical Semigroups And Applications To One Dimensional Analytically Irreducible Local Domains

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Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains

Author: Valentina Barucci
language: en
Publisher: American Mathematical Soc.
Release Date: 1997
In Chapter I, various (numerical) semigroup-theoretic concepts and constructions are introduced and characterized. Applications in Chapter II are made to the study of Noetherian local one-dimensional analytically irreducible integral domains, especially for the Gorenstein, maximal embedding dimension, and Arf cases, as well as to the so-called Kunz case, a pervasive kind of domain of Cohen-Macaulay type 2.