Direct products of simple modules over Dedekind domains. (Q1880181)

From MaRDI portal





scientific article; zbMATH DE number 2101533
Language Label Description Also known as
English
Direct products of simple modules over Dedekind domains.
scientific article; zbMATH DE number 2101533

    Statements

    Direct products of simple modules over Dedekind domains. (English)
    0 references
    0 references
    0 references
    22 September 2004
    0 references
    Let \(R\) be a commutative Dedekind domain and let the \(R\)-module \(M\) be a direct product of simple \(R\)-modules. The authors prove that any homomorphism from a closed submodule of \(M\) to \(M\) can be lifted to \(M\).
    0 references
    0 references
    Dedekind domains
    0 references
    simple modules
    0 references
    homomorphisms
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references