Modules Whose Small Submodules Have Krull Dimension
Abstract
The main aim of this paper is to show that an AB5*-module whose small submodules have Krull dimension has a radical having Krull dimension. The proof uses the notion of dual Goldie dimension.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- July 1998
- DOI:
- 10.48550/arXiv.math/9807112
- arXiv:
- arXiv:math/9807112
- Bibcode:
- 1998math......7112L
- Keywords:
-
- Rings and Algebras;
- 16P20;
- 16D10;
- 16A55;
- 16A49;
- 16S90
- E-Print:
- to appear in the Miskolc conference proceeding 1996