Multiplicative Ideal Theory and Factorization Theory Commutative and
This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflect
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Scott Chapman Marco Fontana Alfred Geroldinger Bruce Olberding Editors
Multiplicative Ideal Theory and Factorization Theory Commutative and Non-commutative Perspectives
Springer Proceedings in Mathematics & Statistics Volume 170
Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.
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Scott Chapman Marco Fontana Alfred Geroldinger Bruce Olberding •
•
Editors
Multiplicative Ideal Theory and Factorization Theory Commutative and Non-commutative Perspectives
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Editors Scott Chapman Department of Mathematics and Statistics Sam Houston State University Huntsville, TX USA Marco Fontana Dipartimento di Matematica e Fisica Università degli Studi Roma Tre Rome Italy
Alfred Geroldinger Institut für Mathematik und Wissenschaftliches Rechnen Universität Graz Graz Austria Bruce Olberding Department of Mathematical Sciences New Mexico State University Las Cruces, NM USA
ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-3-319-38853-3 ISBN 978-3-319-38855-7 (eBook) DOI 10.1007/978-3-319-38855-7 Library of Congress Control Number: 2016939917 Mathematics Subject Classification (2010): 20M14, 13H10, 13A30, 14H20, 13G05, 13F05, 13C10, 11R11 © 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. Print
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