Formal Matrices
This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have
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Piotr Krylov Askar Tuganbaev
Formal Matrices
Formal Matrices
Algebra and Applications Volume 23 Series editors: Michel Broué Université Paris Diderot, Paris, France Alice Fialowski Eötvös Loránd University, Budapest, Hungary Eric Friedlander University of Southern California, Los Angeles, USA Iain Gordon University of Edinburgh, Edinburgh, UK John Greenlees Sheffield University, Sheffield, UK Gerhard Hiß Aachen University, Aachen, Germany Ieke Moerdijk Radboud University Nijmegen, Nijmegen, The Netherlands Christoph Schweigert Hamburg University, Hamburg, Germany Mina Teicher Bar-Ilan University, Ramat-Gan, Israel Alain Verschoren University of Antwerp, Antwerp, Belgium Algebra and Applications aims to publish well written and carefully refereed monographs with up-to-date information about progress in all fields of algebra, its classical impact on commutative and noncommutative algebraic and differential geometry, 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.
More information about this series at http://www.springer.com/series/6253
Piotr Krylov Askar Tuganbaev •
Formal Matrices
123
Askar Tuganbaev National Research University MPEI Moscow Russia
Piotr Krylov Tomsk State University Tomsk Russia
The study is supported by the Russian Science Foundation (project no.*16-11-10013) ISSN 1572-5553 Algebra and Applications ISBN 978-3-319-53906-5 DOI 10.1007/978-3-319-53907-2
ISSN 2192-2950
(electronic)
ISBN 978-3-319-53907-2
(eBook)
Library of Congress Control Number: 2017932631 Mathematics Subject Classification (2010): 16D20, 16D40, 16D50, 16D90, 16E20, 16E60, 15A15 © Springer International Publishing AG 2017 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
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