Back to Search
Start Over
Bounded submodules of modules
- Source :
-
Journal of Pure & Applied Algebra . Dec2005, Vol. 203 Issue 1-3, p45-82. 38p. - Publication Year :
- 2005
-
Abstract
- Abstract: Let , be positive integers such that and be a field. We consider all pairs where is a finite dimensional -bounded -module and is a submodule of which is -bounded. They form the objects of the submodule category which is a Krull–Schmidt category with Auslander–Reiten sequences. The case deals with submodules of -modules and has been studied well. In this paper we determine the representation type of the categories also for the cases where : It turns out that there are only finitely many indecomposables in if either , , or ; the category is tame if is one of the pairs , , , or ; otherwise, has wild representation type. Moreover, in each of the finite or tame cases we describe the indecomposables and picture the Auslander–Reiten quiver. [Copyright &y& Elsevier]
- Subjects :
- *MODULES (Algebra)
*INFINITY (Mathematics)
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 203
- Issue :
- 1-3
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 18782986
- Full Text :
- https://doi.org/10.1016/j.jpaa.2005.02.003