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
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To my wife
Marganit
and our two wonderful kids
Danny and Ella,
whom I love very much