In this dissertation, we establish the existence of new types of indecomposable modules over valuation domains in the following two settings: (1) Finitely generated modules. Given a pair of positive integers m $<$ n and a suitable valuation domain R, we construct finitely generated indecomposable R-modules M of length n and of Goldie dimension m such that the endomorphism ring of M is local. (2) Finite rank torsion-free modules. Given a pair of positive integers m $<$ n and a suitable valuation domain R, we construct finite rank torsion-free indecomposable R-modules M of rank n with basic submodules of rank m such that the endomorphism ring of M is local / acase@tulane.edu
| Identifer | oai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_23801 |
| Date | January 1993 |
| Contributors | Lunsford, Matt David (Author), Fuchs, Laszlo (Thesis advisor) |
| Publisher | Tulane University |
| Source Sets | Tulane University |
| Language | English |
| Detected Language | English |
| Rights | Access requires a license to the Dissertations and Theses (ProQuest) database., Copyright is in accordance with U.S. Copyright law |
Page generated in 0.0095 seconds