An example of an indecomposable module without non-zero hollow factor modules, Turkish Journal Math 31(4)(2006), 1-5

TL;DRAbstract

A module M is called hollow-lifting if every submodule N of M such that M/N is hollow contains a direct summand D #8838; N such that N/D is a small submodule of M/D. A module M is called lifting if such a direct summand D exists for everysubmodule N. We construct an indecomposable module M without non-zero hollow factor modules, showing that there are hollow-lifting modules which are not lifting.The existences of such modules had been left open in a recent work by N. Orhan, D. Keskin and R. Tribak.

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