文档介绍：NathanJacobson
LecturesinAbstract
Algebra
I. oncepts
Springer-VerlagNewYork Heidelberg Berlin
NathanJacobson
DepartmentofMathematics
Yale University
New Haven,Connecticut 06520
ManagingEditor
. Halmos
IndianaUniversity
DepartmentofMathematics
SwainHall East
Bloomington,Indiana 47401
Editors
. Gehring . Moore
UniversityofMichigan UniversityofCalifornia atBerkeley
DepartmentofMathematics DepartmentofMathematics
AnnArbor, Michigan 48104 Berkeley,California 94720
AMSSubject Classifications
06-01,12-01,13-01
LibraryofCongress Cataloging in Publication Data
Jacobson,Nathan, 1910-
Lecturesinabstract algebra.
(Graduatetexts inmathematics; 30-32)
Reprintofthe 1951-1964 ed. published by Van Nostrand,New Yorkin The
Universityseries inhigher mathematics.
Bibliography:, p.
Includesindexes.
CONTENTS; concepts. algebra. of fields and
Galoistheory.
, . .
512'.02 75-15564
Allrights reserved
No partof this bookmay be translated orreproduced inany form without written
permissionfrom Springer-Verlag.
© 1951by Nathan Jacobson
Originallypublished inthe University Series in HigherMathematics (D. Van
pany); edited byM. H. Stone, andS. Chern. S.
Printedinthe United States ofAmerica.
ISBN0-387-90 181-7 Springer-Verlag NewYork Heidelberg Berlin
ISBN3-540-90181-7 Springer-Verlag Berlin Heidelberg New York
TO
MY WIFE
PREFACE
Thepresent volume isthe of firstthree that will bepublished
underthe general titleLe ctures inAb stract Algebra. Thesevol­
umesare based onlectures whichthe author hasgiven during
the pastyears at tenthe Un iversityofNorth Carolina, atThe
JohnsHopkins University, andat Yale University. Thegeneral
planofthe work isas fo llows:Thepresent firstvolume gives an
introductiontoabstract algebra and gives ount ofmost of
theimportant algebraic conc