Lectures on injective modules and quotient rings /

Lectures on injective modules and quotient rings /

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Bibliographic Details
Author / Creator:Faith, Carl, 1927-2014.
Imprint:Berlin ; New York : Springer-Verlag, 1967.
Description:1 online resource (xv, 140 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 49
Lecture notes in mathematics (Springer-Verlag) ; 49.
Subject:
Quotient rings.
Injective modules (Algebra)
Injective modules (Algebra)
Quotient rings.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11070675
Hidden Bibliographic Details
ISBN:9783540039204
3540039201
9783540355519
3540355510
Notes:Includes bibliographical references (pages 132-137) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
digitized 2010 HathiTrust Digital Library committed to preserve
Print version record.
Other form:Print version: Faith, Carl Clifton, 1927- Lectures on injective modules and quotient rings. Berlin, New York [etc.] Springer-Verlag, 1967
Table of Contents:
  • Injective modules
  • Essential extensions and the injective hull
  • Quasi-Injective modules
  • Radical and semiprimitivity in rings
  • The endomorphism ring of a quasi-injective module
  • Noetherian, artinian, and semisimple modules and rings
  • Rational extensions and lattices of closed submodules
  • Maximal quotient rings
  • Semiprime rings with maximum condition
  • Nil and singular ideals under maximum conditions
  • Structure of noetherian prime rings
  • Maximal quotient rings
  • Quotient rings and direct products of full linear rings
  • Johnson rings
  • Open problems.

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