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Fully inert submodules of torsion-free modules over the ring of $p$-adic integers

Tom 136 / 2014

B. Goldsmith, L. Salce, P. Zanardo Colloquium Mathematicum 136 (2014), 169-178 MSC: Primary 13C05; Secondary 13C10. DOI: 10.4064/cm136-2-2

Streszczenie

Fully inert submodules of torsion-free $J_p$-modules are investigated. It is proved that if the module considered is either free or complete, these submodules are exactly those which are commensurable with fully invariant submodules; examples are given of torsion-free $J_p$-modules for which this property fails.

Autorzy

  • B. GoldsmithDublin Institute of Technology
    Aungier Street
    Dublin 2, Ireland
    e-mail
  • L. SalceDipartimento di Matematica
    Via Trieste 63
    35121 Padova, Italy
    e-mail
  • P. ZanardoDipartimento di Matematica
    Via Trieste 63
    35121 Padova, Italy
    e-mail

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