The Generic Rank of A-Planar Structures

The paper mostly collects material on generic rank of A-modules with respect to differential geometric applications. Our research was motivated by geometry of A-structures. In particular, we discuss the case of A being an unitary associative algebra not n

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Abdenacer Makhlouf Eugen Paal Sergei D. Silvestrov Alexander Stolin Editors

Algebra, Geometry and Mathematical Physics AGMP, Mulhouse, France, October 2011

Springer Proceedings in Mathematics & Statistics Volume 85

For further volumes: http://www.springer.com/series/10533

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 OR 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.

Abdenacer Makhlouf Eugen Paal Sergei D. Silvestrov Alexander Stolin •



Editors

Algebra, Geometry and Mathematical Physics AGMP, Mulhouse, France, October 2011

123

Editors Abdenacer Makhlouf Laboratoire de Mathématiques, Informatique et Applications Université of Haute Alsace Mulhouse France Eugen Paal Department of Mathematics Tallinn University of Technology Tallinn Estonia

Sergei D. Silvestrov Division of Applied Mathematics, The School of Education Culture and Communication (UKK) Mälardalen University Västerås Sweden Alexander Stolin Department of Mathematical Sciences University of Göteborg Göteborg Sweden

ISSN 2194-1009 ISSN 2194-1017 (electronic) ISBN 978-3-642-55360-8 ISBN 978-3-642-55361-5 (eBook) DOI 10.1007/978-3-642-55361-5 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2014941309 Mathematics Subject Classification (2010): 17-06, 16-06, 81-06, 17A-XX, 17B-XX, 81R-XX  Springer-Verlag Berlin Heidelberg 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, reg