skip to main content
research-article

Computing the ideals of sumset semigroups

Published:12 January 2022Publication History
Skip Abstract Section

Abstract

We introduce an algorithm for computing the ideals associated with some sumset semigroups. Our results allow us to study some additive properties of sumsets.

References

  1. J. I. García-García, D. Marín-Aragón, and A. Vigneron-Tenorio. On the ideals of some sumset semigroups, 2021; arXiv:2102.04100.Google ScholarGoogle Scholar
  2. R. Gilmer. Commutative Semigroup Rings. Chicago Lectures in Mathematics. 1984.Google ScholarGoogle Scholar
  3. M. B. Nathanson. Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Springer, Vol. 165, 1996.Google ScholarGoogle ScholarCross RefCross Ref
  4. J. C. Rosales and P. A. García-Sánchez. Numerical Semigroups. Developments in Mathematics, 20. Springer, New York, 2009.Google ScholarGoogle ScholarCross RefCross Ref
  5. T. Tao and V. Vu. Additive Combinatorics: 105. Cambridge; New York, 2006.Google ScholarGoogle ScholarCross RefCross Ref

Index Terms

  1. Computing the ideals of sumset semigroups
    Index terms have been assigned to the content through auto-classification.

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in

    Full Access

    • Published in

      cover image ACM Communications in Computer Algebra
      ACM Communications in Computer Algebra  Volume 55, Issue 3
      September 2021
      60 pages
      ISSN:1932-2240
      DOI:10.1145/3511528
      Issue’s Table of Contents

      Copyright © 2022 Copyright is held by the owner/author(s)

      Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 12 January 2022

      Check for updates

      Qualifiers

      • research-article

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader