EDITORIAL COMMITTEE David Cox (Chair) Steven G. Krantz Rafe Mazzeo Martin Scharlemann First edition c 2002 held by the American Mathematical Society The 2002 edition of this book was previously published by Pearson Education, Inc. 2000 Mathematics Subject Classification. Primary 11–XX, 12–XX, 13–XX, 15–XX, 16–XX, 18–XX, 19–XX, 20–XX. For additional information and updates on this book, visit www.ams.org/bookpages/gsm-114 Library of Congress Cataloging-in-Publication Data Rotman, Joseph J., 1934– Advanced modern algebra / Joseph J. Rotman. 2nd ed. p. cm. (Graduate studies in mathematics v. 114) Includes bibliographical references and index. ISBN 978-0-8218-4741-1 (alk. paper) 1. Algebra. I. Title. II. Series. QA154.3.R68 2010 512—dc22 2009052217 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 a chapter 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. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904-2294 USA. Requests can also be made by e-mail to reprint-permission@ams.org. Second edition c 2010 by the American Mathematical Society. All rights 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://www.ams.org/ 10 9 8 7 6 5 4 3 2 1 15 14 13 12 11 10
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