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Advanced Modern Algebra, Part 1, Joseph Rotman.pdf

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Joseph J. Rotman Graduate Studies in Mathematics American Mathematical Society
Advanced Modern Algebra Third Edition, Part 1
Advanced Modern Algebra Third Edition, Part 1 Joseph J. Rotman Graduate Studies in Mathematics Volume 165 American Mathematical Society Providence, Rhode Island
EDITORIAL COMMITTEE Dan Abramovich Daniel S. Freed Rafe Mazzeo (Chair) Gigliola Staffi.lani The 2002 edition of this book was previously published by Pearson Education, Inc. 2010 Mathematics Subject Classification. Primary 12-01, 13-01, 14-01, 15-01, 16-01, 18-01, 20-01. For additional information and updates on this book, visit www .ams.org/bookpages/ gsm-165 Library of Congress Cataloging-in-Publication Data Rotman, Joseph J., 1934- Advanced modern algebra/ Joseph J. Rotman. - Third edition. volumes cm. - (Graduate studies in mathematics ; volume 165) Includes bibliographical references and index. ISBN 978-1-4704-1554-9 (alk. paper : pt. 1) 1. Algebra. I. Title. QA154.3.R68 2015 512-dc23 2015019659 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy select pages for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Permissions to reuse portions of AMS publication content are handled by Copyright Clearance Center's RightsLink® service. For more information, please visit: http: I /www.ams.org/rightslink. Send requests for translation rights and licensed reprints to reprint-permission©ams. org. Excluded from these provisions is material for which the author holds copyright. In such cases, requests for permission to reuse or reprint material should be addressed directly to the author(s). Copyright ownership is indicated on the copyright page, or on the lower right-hand corner of the first page of each article within proceedings volumes. Third edition © 2015 by the American Mathematical Society. All rights reserved. Second edition © 2010 by the American Mathematical Society. All rights reserved. First edition © 2002 by the American Mathematical Society. All right reserved. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. § The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http: I /www.ams.org/ 10987654321 20 19 18 17 16 15
To my wife Marganit and our two wonderful kids Danny and Ella, whom I love very much
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