Binomial Ideals

This textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an emphasis on binomial ideals.  In addition to thorough coverage of the basic concepts and theory, it explores current trends, results, a

  • PDF / 4,825,369 Bytes
  • 332 Pages / 439.42 x 683.15 pts Page_size
  • 15 Downloads / 255 Views

DOWNLOAD

REPORT


Jürgen Herzog · Takayuki Hibi   Hidefumi Ohsugi

Binomial Ideals

Graduate Texts in Mathematics

279

Graduate Texts in Mathematics Series Editors: Sheldon Axler San Francisco State University, San Francisco, CA, USA Kenneth Ribet University of California, Berkeley, CA, USA Advisory Board: Alejandro Adem, University of British Columbia David Eisenbud, University of California, Berkeley & MSRI Brian C. Hall, University of Notre Dame J.F. Jardine, University of Western Ontario Jeffrey C. Lagarias, University of Michigan Ken Ono, Emory University Jeremy Quastel, University of Toronto Fadil Santosa, University of Minnesota Barry Simon, California Institute of Technology Ravi Vakil, Stanford University Steven H. Weintraub, Lehigh University

Graduate Texts in Mathematics bridge the gap between passive study and creative understanding, offering graduate-level introductions to advanced topics in mathematics. The volumes are carefully written as teaching aids and highlight characteristic features of the theory. Although these books are frequently used as textbooks in graduate courses, they are also suitable for individual study.

More information about this series at http://www.springer.com/series/136

Jürgen Herzog • Takayuki Hibi • Hidefumi Ohsugi

Binomial Ideals

123

Jürgen Herzog Fakultät für Mathematik Universität Duisburg-Essen Essen, Germany Hidefumi Ohsugi Department of Mathematical Sciences School of Science and Technology Kwansei Gakuin University Sanda, Hyogo, Japan

Takayuki Hibi Department of Pure & Applied Mathematics Graduate School of Information Science and Technology Osaka University Suita, Osaka, Japan

ISSN 0072-5285 ISSN 2197-5612 (electronic) Graduate Texts in Mathematics ISBN 978-3-319-95347-2 ISBN 978-3-319-95349-6 (eBook) https://doi.org/10.1007/978-3-319-95349-6 Library of Congress Control Number: 2018949912 Mathematics Subject Classification (2010): 13-01, 05B50, 05C25, 13F20, 13P10, 13P25, 52B20 © Springer International Publishing AG, part of Springer Nature 2018 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