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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
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