Mathematics / Matematik

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  • Article
    Citation - WoS: 5
    Citation - Scopus: 3
    Rings Over Which Flat Covers of Simple Modules Are Projective
    (World Scientific Publishing Co. Pte Ltd, 2012) Büyükaşık, Engin; Büyükaşık, Engin; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    Let R be a ring with identity. We prove that, the flat cover of any simple right R-module is projective if and only if R is semilocal and J(R) is cotorsion if and only if R is semilocal and any indecomposable flat right R-module with unique maximal submodule is projective.