When every projective module is a direct sum of finitely generated modules

Gennady Puninskiy, Warren Wm McGovern, Gena Puninski, Philipp Rothmaler

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We characterize rings over which every projective module is a direct sum of finitely generated modules, and give various examples of rings with and without this property. © 2007 Elsevier Inc. All rights reserved.
    Original languageEnglish
    Pages (from-to)454-481
    Number of pages27
    JournalJournal of Algebra
    Volume315
    Issue number1
    DOIs
    Publication statusPublished - 1 Sep 2007

    Keywords

    • (Weakly) semihereditary ring
    • Bézout ring
    • Decomposition theory
    • Non-finitely generated projective module
    • Principal ideal ring
    • Rings of continuous functions

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