PI-Algebras-An-Introduction-by-Nathan-Jacobson
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PI-Algebras-An-Introduction-by-Nathan-Jacobson
Lecture Notes in MathematicsEdited by A. Dold and B. Eckmann441Nathan JacobsonPl-AlgebrasAn IntroductionSpringer-VerlagBerlin • Heidelberg • New York PI-Algebras-An-Introduction-by-Nathan-Jacobson 1975Prof. Nathan JacobsonDept, of MathematicsYale UniversityBox 2155, Yale StationNew Haven, CT 06520/USALibrary t>4 Congrey* <’4ial<»X’»K Publicalien DataJacobson, Nathan, 1910-PI-algebras.(Lecture notes in rr-aUiemutics ; V. U1» 1)àí bllography: p.Includes index.1.Rings (Algebra) I. Title. II. Se PI-Algebras-An-Introduction-by-Nathan-Jacobson ries: lecture notes in mathematics (Berlin) ; V. bbl. QA3.L28 no.Ul (QA2L7) 510'.8s 1512.-';]AMS Subject Classifications (1970): 16-01, 16-02, 16A12,PI-Algebras-An-Introduction-by-Nathan-Jacobson
16A20, 16A38. 16A40ISBN 3-540-07143-1 Springer-Verlag Berlin ■ Heidelberg • New York ISBN 0-387-07143-1 Springer-Verlag New York ■ Heidelberg • BerlinLecture Notes in MathematicsEdited by A. Dold and B. Eckmann441Nathan JacobsonPl-AlgebrasAn IntroductionSpringer-VerlagBerlin • Heidelberg • New York PI-Algebras-An-Introduction-by-Nathan-Jacobson reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks.Under § 54 of the German Copyright Lav/ where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by PI-Algebras-An-Introduction-by-Nathan-Jacobson agreement with the publisher.© by Springer-Verlag Berlin • Heidelberg 1975. Printed in Germany.Offsetdruck: Julius Beltz, Hemsbach/Bergstr.ForewordThePI-Algebras-An-Introduction-by-Nathan-Jacobson
se are lecture notes for a course on ring theory given by the author at Yale, September - Becember, 1973. The lectures had two main goals: first, to pLecture Notes in MathematicsEdited by A. Dold and B. Eckmann441Nathan JacobsonPl-AlgebrasAn IntroductionSpringer-VerlagBerlin • Heidelberg • New York PI-Algebras-An-Introduction-by-Nathan-Jacobson k and Rowen and second, LO present a detailed and complete account of Amitsur’s construction of non-crossed product division algebras.Table of ContentsINTRODUCTION1.Assumed background ............................................................. 12.Two results on the radical......................... PI-Algebras-An-Introduction-by-Nathan-Jacobson ............................ 73.Prime and semi-prime ideals.................................................... 9I.PI - ALGEBRAS1.Definitions and examPI-Algebras-An-Introduction-by-Nathan-Jacobson
ples....................................................... 11Lecture Notes in MathematicsEdited by A. Dold and B. Eckmann441Nathan JacobsonPl-AlgebrasAn IntroductionSpringer-VerlagBerlin • Heidelberg • New York Lecture Notes in MathematicsEdited by A. Dold and B. Eckmann441Nathan JacobsonPl-AlgebrasAn IntroductionSpringer-VerlagBerlin • Heidelberg • New YorkGọi ngay
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