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Computing the ideals of sumset semigroups

Published: 12 January 2022 Publication History

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.
[2]
R. Gilmer. Commutative Semigroup Rings. Chicago Lectures in Mathematics. 1984.
[3]
M. B. Nathanson. Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Springer, Vol. 165, 1996.
[4]
J. C. Rosales and P. A. García-Sánchez. Numerical Semigroups. Developments in Mathematics, 20. Springer, New York, 2009.
[5]
T. Tao and V. Vu. Additive Combinatorics: 105. Cambridge; New York, 2006.

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  1. Computing the ideals of sumset semigroups

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    Published In

    cover image ACM Communications in Computer Algebra
    ACM Communications in Computer Algebra  Volume 55, Issue 3
    September 2021
    60 pages
    ISSN:1932-2232
    EISSN:1932-2240
    DOI:10.1145/3511528
    Issue’s Table of Contents
    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.

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 12 January 2022
    Published in SIGSAM-CCA Volume 55, Issue 3

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