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Modules over Non-Noetherian Domains

About this Title

László Fuchs, Tulane University, New Orleans, LA and Luigi Salce, University of Padova, Padova, Italy

Publication: Mathematical Surveys and Monographs
Publication Year: 2001; Volume 84
ISBNs: 978-0-8218-1963-0 (print); 978-1-4704-1311-8 (online)
DOI: https://doi.org/10.1090/surv/084
MathSciNet review: MR1794715
MSC: Primary 13-02; Secondary 13Cxx, 13G05

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Table of Contents

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Front/Back Matter

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Chapters

• I. Commutative domains and their modules
• II. Valuation domains
• III. Prüfer domains
• IV. More non-noetherian domains
• V. Finitely generated modules
• VI. Projectivity and projective dimension
• VII. Divisible modules
• VIII. Topology and filtration
• IX. Injective modules
• X. Uniserial modules
• XI. Heights, invariants and basic submodules
• XII. Polyserial modules
• XIII. $RD$- and pure-injectivity
• XIV. Torsion modules
• XV. Torsion-free modules of finite rank
• XVI. Infinite rank torsion-free modules