Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains / Valentina Barucci, David E. Dobbs, Marco Fontana.

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Bibliographic Details
Online Access: Full Text (via ProQuest)
Main Authors: Barucci, Valentina, 1950- (Author), Dobbs, David E. (Author), Fontana, Marco, 1947- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 1997.
Series:Memoirs of the American Mathematical Society ; Volume 125, no. 598.
Subjects:
Table of Contents:
  • Contents
  • Abstract
  • Introduction
  • Chapter I. Maximality Properties in Numerical Semigroups
  • 1. Symmetric semigroups and pseudo-symmetric semigroups
  • 2. The Lipman semigroup of an ideal and semigroups of maximal embedding dimension
  • 3. Arf semigroups
  • 4. Symmetric or pseudo-symmetric Arf semigroups
  • 5. Propinquity of symmetric Arf semigroups
  • 6. Arf semigroups and degree of singularity
  • Chapter II. Maximality Properties in One-Dimensional Analytically Irreducible Local Domains
  • 1. Gorenstein domains and Kunz domains.
  • 2. Domains with maximal embedding dimension and Arf domains3. Arf Gorenstein domains and Arf Kunz domains
  • 4. Gorenstein overrings of a Gorenstein domain
  • 5. One-dimensional analytically irreducible local Arf domains and degree of singularity
  • References.