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Dimension theory for nonsingular injective modules

About this Title

K. R. Goodearl and Ann K. Boyle

Publication: Memoirs of the American Mathematical Society
Publication Year: 1976; Volume 7, Number 177
ISBNs: 978-0-8218-2177-0 (print); 978-1-4704-0792-6 (online)
DOI: https://doi.org/10.1090/memo/0177
MathSciNet review: 0429993

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Table of Contents

Chapters

  • I. Preliminaries
  • II. Abelian modules
  • III. Directly finite modules
  • IV. Central covers and faithful idempotents
  • V. Modules of types I, II, and III
  • VI. Modules of types $\textrm {I}_f$, $\textrm {I}_\infty$, $\textrm {II}_f$, and $\textrm {II}_\infty$
  • VII. Decomposition into types
  • VIII. Relative dimension: First stage
  • IX. Relative dimension: Second stage
  • X. Ranges of the relative dimension functions
  • XI. Maximal ideals
  • XII. Infinite dimension: First stage
  • XIII. Infinite dimension: Second stage
  • XIV. Conclusion