On Epi-Projective Modules

  • Derya Keskin T¨ut¨unc¨ u
  • Yosuke Kuratomi
Keywords: epi-projective module, lifting module


In this paper, firstly we show that for lifting modules M and N, M is N-projective if and only if M is epi-N-projective and im-small Nprojective. Secondly we show that for any weakly supplemented module N, ifM ⊕N is small epi-N-projective then M is N-projective