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Zbl 0727.13009
Zanardo, Paolo
Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain. (English)
[J] Rend. Semin. Mat. Univ. Padova 82, 185-202 (1989). ISSN 0041-8994

In a previous paper [Ann. Univ. Ferrara, Nuova Ser., Sez. VII. 31, 71-89 (1985; Zbl 0598.13004)], the author has introduced the notion of unitary independence, which was used for the classification of certain classes of indecomposable finitely generated modules over valuation domains [see the author, Commun. Algebra 13, 2473-2491 (1985; Zbl 0581.13014)]. - The aim of this paper is to show that the unitary independence can be used for the investigation of finite rank torsion-free modules over valuation domains, obtaining similar results to the ones that hold for finitely generated modules.
[T.Albu (Bucureşti)]

MSC 2000:: *13F30 Valuation rings
13C12 Torsion modules
13E15 Rings and modules of finite generation

Keywords: unitary independence; valuation domains

Citations: Zbl 0598.13004; Zbl 0581.13014

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