Numerical Semigroups and Applications
This book is an extended and revised version of "Numerical Semigroups with Applications," published by Springer as part of the RSME series. Like the first edition, it presents applications of numerical semigroups in Algebraic Geometry, Number Theory and C
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Abdallah Assi Marco D’Anna Pedro A. García-Sánchez
Numerical Semigroups and Applications Second Edition
RSME Springer Series Volume 3
Editor-in-Chief José Bonet, Instituto Universitario de Matemática Pura y Aplicada (IUMPA), Universitat Politècnica de València, Valencia, Spain Series Editors Nicolas Andruskiewitsch, FaMAF - CIEM (CONICET), Universidad Nacional de Córdoba, Córdoba, Argentina María Emilia Caballero, Instituto de Matemáticas, Universidad Nacional Autónoma de México, México, Mexico Pablo Mira, Departamento de Matematica Aplicada y Estadistica, Universidad Politécnica de Cartagena, Cartagena, Spain Timothy G. Myers, Centre de Recerca Matemàtica, Barcelona, Spain Marta Sanz-Solé, Department of Mathematics and Informatics, Barcelona Graduate School of Mathematics (BGSMath), Universitat de Barcelona, Barcelona, Spain Karl Schwede, Department of Mathematics, University of Utah, Salt Lake City, UT, USA
As of 2015, RSME - Real Sociedad Matemática Española - and Springer cooperate in order to publish works by authors and volume editors under the auspices of a co-branded series of publications including advanced textbooks, Lecture Notes, collections of surveys resulting from international workshops and Summer Schools, SpringerBriefs, monographs as well as contributed volumes and conference proceedings. The works in the series are written in English 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 Marco D’Anna Pedro A. García-Sánchez •
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Numerical Semigroups and Applications Second Edition
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Abdallah Assi Département de Mathématiques Université d’Angers Angers, France
Marco D’Anna Dipartimento di Matematica e Informatica Università di Catania Catania, Italy
Pedro A. García-Sánchez Departamento de Álgebra Universidad de Granada Granada, Spain
ISSN 2509-8888 ISSN 2509-8896 (electronic) RSME Springer Series ISBN 978-3-030-54942-8 ISBN 978-3-030-54943-5 (eBook) https://doi.org/10.1007/978-3-030-54943-5 1st edition: © Springer International Publishing Switzerland 2016 2nd edition: © Springer Nature Switzerland AG 2020 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 edito
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