Abstract (EN):
A module M is called hollow-lifting if every subinodule N of M such that M/N is hollow contains a direct summand D subset of N such that N/D is a small subinodule of M/D. A module All is called lifting if such a, direct summand D exists for every subinodule 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-Tutuncu and R. Tribak [2].
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Contacto:
clomp@fc.up.pt
Nº de páginas:
5