Generalized Derivations on Rings and Banach Algebras
Let R be a prime ring with Utumi quotient ring U. If R admits a generalized derivation F associated with a derivation d such that \( F([x^my, x]_k)^n-[x^my, x]_k =0\) for all \( x, y\in R \) where \( m\ge 0\) and \( n, k \ge 1\) fixed integers, then R is
- PDF / 5,722,651 Bytes
- 431 Pages / 453.543 x 683.15 pts Page_size
- 45 Downloads / 244 Views
Syed Tariq Rizvi Asma Ali Vincenzo De Filippis Editors
Algebra and its Applications ICAA, Aligarh, India, December 2014
Springer Proceedings in Mathematics & Statistics Volume 174
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
Syed Tariq Rizvi Asma Ali Vincenzo De Filippis •
Editors
Algebra and its Applications ICAA, Aligarh, India, December 2014
123
Editors Syed Tariq Rizvi Department of Mathematics The Ohio State University Lima, OH USA
Vincenzo De Filippis Department of Mathematics and Computer Science University of Messina Messina Italy
Asma Ali Department of Mathematics Aligarh Muslim University Aligarh, Uttar Pradesh India
ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-981-10-1650-9 ISBN 978-981-10-1651-6 (eBook) DOI 10.1007/978-981-10-1651-6 Library of Congress Control Number: 2016943788 Mathematics Subject Classification (2010): 08-xx, 13-xx, 16-xx, 17-xx, 20-xx © Springer Science+Business Media Singapore 2016 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Science+Business Media Singapore Pte Ltd.
Preface
The international conference on “Algebra and its Applications” was organized by the
Data Loading...
