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Structure of Rings
Nathan Jacobson, Yale University, New Haven, CT
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Colloquium Publications
1956; 299 pp; softcover
Volume: 37
Reprint/Revision History:
revised 1964; reprinted with corrections 1984; fifth printing 1997
ISBN-10: 0-8218-1037-5
ISBN-13: 978-0-8218-1037-8
List Price: US$34
Member Price: US$27.20
Order Code: COLL/37
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Reviews

"The author has done an impressive job of gathering together the bulk of the important contributions to the structure theory of rings without finiteness assumptions, a service for which all present and future research workers in this area should be thankful. It is replete with interesting unsolved problems, and will undoubtedly become a standard reference for some years to come. It represents a valuable addition to the Colloquium series."

-- M. Henriksen

Table of Contents

  • The radical and semi-simplicity
  • Irreducible modules and primitive rings
  • Rings with minimum condition
  • Primitive rings having minimal one-sided ideals
  • Kronecker products
  • Completely reducible modules. Galois theory for the ring of linear transformations
  • Division rings
  • Nil ideals and prime ideals
  • Structure spaces
  • Applications
  • Appendices
  • Bibliography
  • Additional bibliography
  • Index
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