On Epi-Projective Modules

Derya Keskin T¨ut¨unc¨ u; Yosuke Kuratomi

Derya Keskin T¨ut¨unc¨ u
Yosuke Kuratomi

Keywords: epi-projective module, lifting module

Abstract

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