Homological and Combinatorial Methods in Algebra SAA 4, Ardabil, Ira

Based on the 4th Seminar on Algebra and its Applications organized by the University of Mohaghegh Ardabili, this volume highlights recent developments and trends in algebra and its applications. Selected and peer reviewed, the contributions in this volume

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Ayman Badawi  Mohammad Reza Vedadi  Siamak Yassemi  Ahmad Yousefian Darani Editors

Homological and Combinatorial Methods in Algebra SAA 4, Ardabil, Iran, August 2016

Springer Proceedings in Mathematics & Statistics Volume 228

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.

More information about this series at http://www.springer.com/series/10533

Ayman Badawi Mohammad Reza Vedadi Siamak Yassemi Ahmad Yousefian Darani •



Editors

Homological and Combinatorial Methods in Algebra SAA 4, Ardabil, Iran, August 2016

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Editors Ayman Badawi Department of Mathematics American University of Sharjah Sharjah United Arab Emirates Mohammad Reza Vedadi Faculty of Mathematical Science Isfahan University of Technology Isfahan Iran

Siamak Yassemi School of Mathematics, Statistics, and Computer Science University of Tehran Tehran Iran Ahmad Yousefian Darani Department of Mathematics and Applications University of Mohaghegh Ardabili Ardabil Iran

ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-3-319-74194-9 ISBN 978-3-319-74195-6 (eBook) https://doi.org/10.1007/978-3-319-74195-6 Library of Congress Control Number: 2017963530 Mathematics Subject Classification (2010): 13A15, 12F15, 13B05, 13C10, 16E05, 13F05 © Springer International Publishing AG 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 herein or for any errors or omissions that may have been made. The publishe