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Classical Finite Transformation Semigroups
Algebra and Applications
Volume 9
Managing Editor:
Alain Verschoren
University of Antwerp, Belgium
Series Editors:
Alice Fialowski
Eötvös Loránd University, Hungary
Eric Friedlander
Northwestern University, USA
John Greenlees
Sheffield University, UK
Gerhard Hiss
Aachen University, Germany
Ieke Moerdijk
Utrecht University, The Netherlands
Idun Reiten
Norwegian University of Science and Technology, Norway
Christoph Schweigert
Hamburg University, Germany
Mina Teicher
Bar-llan University, Israel
Algebra and Applications
aims to publish well written and carefully refereed mono-
graphs with up-to-date information about progress in all fields of algebra, its
classical impact on commutative and noncommutative algebraic and differential ge-
ometry, K-theory and algebraic topology, as well as applications in related domains,
such as number theory, homotopy and (co)homology theory, physics and discrete
mathematics.
Particular emphasis will be put on state-of-the-art topics such as rings of differential
operators, Lie algebras and super-algebras, group rings and algebras, C*algebras,
Kac-Moody theory, arithmetic algebraic geometry, Hopf algebras and quantum
groups, as well as their applications. In addition, Algebra and Applications will
also publish monographs dedicated to computational aspects of these topics as well
as algebraic and geometric methods in computer science.
Olexandr Ganyushkin
•
Volodymyr Mazorchuk
Classical Finite
Transformation Semigroups
An Introduction
ABC
Olexandr Ganyushkin
Kyiv Taras Shevchenko University
Volodymyrska Street, 64
Kyiv
Ukraine
ganiyshk@univ.kiev.ua
Volodymyr Mazorchuk
Uppsala University
Dept. Mathematics
SE-751 06 Uppsala
Sweden
mazor@math.uu.se
ISBN: 978-1-84800-280-7
e-ISBN: 978-1-84800-281-4
DOI: 10.1007/978-1-84800-281-4
British Library Cataloguing in Publication Data
A catalogue record for this book is available from the British Library
Library of Congress Control Number: 2008941019
c Springer-Verlag London Limited 2009
Apart from any fair dealing for the purposes of research or private study, or criticism or review, as per-
mitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced,
stored or transmitted, in any form or by any means, with the prior permission in writing of the publish-
ers, or in the case of reprographic reproduction in accordance with the terms of licenses issued by the
Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to
the publishers.
The use of registered names, trademarks, etc., in this publication does not imply, even in the absence of a
specific statement, that such names are exempt from the relevant laws and regulations and therefore free
for general use.
The publisher makes no representation, express or implied, with regard to the accuracy of the information
contained in this book and cannot accept any legal responsibility or liability for any errors or omissions
that may be made.
Printed on acid-free paper
Springer Science+Business Media
springer.com
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