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Direct products of simple modules over Dedekind domains |
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| Authors: | C.?Santa-Clara mailto:cgomes@ptmat.fc.ul.pt" title=" cgomes@ptmat.fc.ul.pt" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,P. F.?Smith mailto:pfs@maths.gla.ac.uk" title=" pfs@maths.gla.ac.uk" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal;(2) Department of Mathematics, University of Glasgow, G12 8QW Glasgow, Scotland |
| Abstract: | Let R be a (commutative) Dedekind domainand let the R-module Mbe a direct product of simple R-modules. Then anyhomomorphism from a closed submodule K of M to Mcan be lifted to M.Received: 9 December 2002 |
| Keywords: | Primary: 16D50 Secondary: 13F05, 16D60, 13E05, 16P40. |
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