RO  EN
IMI/Publicaţii/QRS/Ediţii/QRS v.6, n.1 (6), 1999/

On n-modules with chain conditions

Authors: Iancu L.

Abstract

We show that the maximal n-submodules of an n-module are determined by the maximal n-subgroups of the n-group of its zero-idempotents and by the maximal n-submodules of its maximal n-submodule with zero. We state some results concerning R-n-modules with chain conditions analogous to the Jordan-Hölder Theorem, to Fitting's Lemma, to Krull-Remack-Schmidt Theorem.

Iancu L.
North University of Baia Mare,
Victoriei 7,
RO-4800 Baia Mare,
Romania.
E-mail:
__________________________________
current address:
Institut Girard Desargues,
Bat. 101, Université Lyon 1,
43 Bd du 11 Novembre 1918,
F-69622 Villeurbanne Cedex,
France.
E-mail:

Fulltext

Adobe PDF document0.26 Mb