Direct sums of semi-projective modules

Volume 127 / 2012

Derya Keskin Tütüncü, Berke Kaleboğaz, Patrick F. Smith Colloquium Mathematicum 127 (2012), 67-81 MSC: Primary 16D40, 16U10; Secondary 16D50, 13C11, 13F10. DOI: 10.4064/cm127-1-5

Abstract

We investigate when the direct sum of semi-projective modules is semi-projective. It is proved that if $R$ is a right Ore domain with right quotient division ring $Q \not =R$ and $X$ is a free right $R$-module then the right $R$-module $Q \oplus X$ is semi-projective if and only if there does not exist an $R$-epimorphism from $X$ to $Q$.

Authors

  • Derya Keskin TütüncüDepartment of Mathematics
    Hacettepe University
    06800 Beytepe, Ankara, Turkey
    e-mail
  • Berke KaleboğazDepartment of Mathematics
    Hacettepe University
    06800 Beytepe, Ankara, Turkey
    e-mail
  • Patrick F. SmithDepartment of Mathematics
    Glasgow University
    Glasgow G12 8QW, Scotland
    e-mail

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