Mathematical Sciences Research Institute Publications

Noncommutative Rings

Editors: Montgomery, Susan, Small, Lance (Eds.)

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About this book

This volume collects some of the survey lectures delivered at the Micro­ program on Noncommutative Rings held at MSRI, July 10-21, 1989. While the program was concerned with recent advances in ring theory, it also had as an important component lectures on related areas of mathematics where ring theory might be expected to have an impact. Thus, there are lectures of S. P. Smith on quantum groups and Marc Ri­ effel on algebraic aspects of quantum field theory. Martin Lorenz and Don­ ald Passman consider in their lectures various aspects of crossed products: homological and K-theoretic to group actions. Kenneth Brown presents the "modern" theory of Noetherian rings and localization. These contributions as well as the others not presented here show that ring theory remains a vigorous and useful area. The planning and organization of the program were done by the under­ signed and the late Robert Warfield. His illness prevented his attendance at the meeting. It is to him we dedicate this volume. The organizers wish to extend their thanks to Irving Kaplansky, Director of MSRI, and the staff for all of their efforts in making this conference such a success. Susan Montgomery Lance Small vii NONCOMMUTATIVE RINGS TABLE OF CONTENTS PREFACE. . . . . . . . . . . . . . . . . . . . . . .. . . . Vll . . . . . . . . . . K. A. Brown THE REPRESENTATION THEORY OF NOETHERIAN RINGS 1 A. Joseph SOME RING THEORETIC TECHNIQUES AND OPEN PROBLEMS IN ENVELOPING ALGEBRAS. . . . . . . . . . . 27 . . . M. Lorenz CROSSED PRODUCTS: CHARACTERS, CYCLIC HOMOLOGY, AND GROTHENDIECK GROUPS . . . . . . . . . . . . . . . 69 . . . . . .

Table of contents (6 chapters)

  • The Representation Theory of Noetherian Rings

    Brown, Kenneth A.

    Pages 1-25

  • Some Ring Theoretic Techniques and Open Problems in Enveloping Algebras

    Joseph, Anthony

    Pages 27-67

  • Crossed Products: Characters, Cyclic Homology, and Grothendieck Groups

    Lorenz, Martin

    Pages 69-98

  • Prime Ideals in Crossed Products

    Passman, D. S.

    Pages 99-113

  • Category Theory and Quantum Field Theory

    Rieffel, Marc A.

    Pages 115-129

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4613-9736-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.00
price for USA
  • ISBN 978-1-4613-9738-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Noncommutative Rings
Editors
  • Susan Montgomery
  • Lance Small
Series Title
Mathematical Sciences Research Institute Publications
Series Volume
24
Copyright
1992
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4613-9736-6
DOI
10.1007/978-1-4613-9736-6
Softcover ISBN
978-1-4613-9738-0
Series ISSN
0940-4740
Edition Number
1
Number of Pages
IX, 178
Topics