Turkish Journal of Mathematics
Abstract
A module M is called hollow-lifting if every submodule N of M such that M/N is hollow contains a direct summand D \subseteq 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 every submodule 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-Tütüncü and R. Tribak [2].
DOI
-
Keywords
Hollow modules, Indecomposable modules, Lifting modules, coalgebras
First Page
415
Last Page
419
Recommended Citation
LOMP, C (2007). An Example of an Indecomposable Module Without Non-Zero Hollow Factor Modules. Turkish Journal of Mathematics 31 (4): 415-419. https://doi.org/-
