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

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1997Copyright date: ©1997Edition: 1st edDescription: 1 online resource (95 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470401832
Subject(s): Genre/Form: Additional physical formats: Print version:: Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local DomainsDDC classification:
  • 512/.4
LOC classification:
  • QA251.3 -- .B378 1997eb
Online resources:
Contents:
Intro -- 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 domains -- 3. 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.
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Intro -- 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 domains -- 3. 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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