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Direct products of simple modules over Dedekind domains

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Abstract.

Let R be a (commutative) Dedekind domain and let the R-module M be a direct product of simple R-modules. Then any homomorphism from a closed submodule K of M to M can be lifted to M.

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Authors and Affiliations

  1. Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, 1749-016, Lisboa, Portugal

    C. Santa-Clara

  2. Department of Mathematics, University of Glasgow, G12 8QW, Glasgow, Scotland

    P. F. Smith

Authors
  1. C. Santa-Clara
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  2. P. F. Smith
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Correspondence to C. Santa-Clara or P. F. Smith.

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Received: 9 December 2002

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Santa-Clara, C., Smith, P. Direct products of simple modules over Dedekind domains. Arch. Math. 82, 8–12 (2004). https://doi.org/10.1007/s00013-003-0840-y

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  • DOI: https://doi.org/10.1007/s00013-003-0840-y

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