Numerical Semigroups and Applications
This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreduc
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Abdallah Assi Pedro A. García-Sánchez
Numerical Semigroups and Applications
RSME Springer Series Volume 1
Editor-in-chief Juan Elias Garcia, Universidad de Barcelona, Barcelona, Spain Series editors Nicolas Andruskiewitsch, Universidad Nacional de Córdoba, Córdoba, Argentina María Emilia Caballero, Universidad Nacional Autónoma de México, México, Mexico Pablo Mira, Universidad Politécnica de Cartagena, Cartagena, Spain Timothy G. Myers, Centre de Recerca Matemàtica, Barcelona, Spain Peregrina Quintela, Universidad de Santiago de Compostela, Santiago de Compostela, Spain Karl Schwede, University of Utah, Salt Lake City, USA
As of 2015, Real Sociedad Matemática Española (RSME) and Springer cooperate in order to publish works by authors and volume editors under the auspices of a co-branded series of publications including SpringerBriefs, monographs and contributed volumes. The works in the series are in English language only, aiming to offer high level research results in the fields of pure and applied mathematics to a global readership of students, researchers, professionals, and policymakers.
More information about this series at http://www.springer.com/series/13759
Abdallah Assi Pedro A. García-Sánchez •
Numerical Semigroups and Applications
123
Pedro A. García-Sánchez Departamento de Álgebra Universidad de Granada Granada Spain
Abdallah Assi Dèpartement de Mathématiques Université d’Angers Angers, Maine-et-Loire France
ISSN 2509-8888 RSME Springer Series ISBN 978-3-319-41329-7 DOI 10.1007/978-3-319-41330-3
ISSN 2509-8896
(electronic)
ISBN 978-3-319-41330-3
(eBook)
Library of Congress Control Number: 2016945789 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
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Preface
Early versions of this manuscript were developed for a course on num
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