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

• Autorzy: B. Goldsmith , L. Salce , P. Zanardo
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 13C05: Structure, classification theorems
• 13C10: Projective and free modules and ideals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 136
• Numer: 2
• Strony: 169-178

Daty

wydano

2014

Twórcy

autor

B. Goldsmith

• Dublin Institute of Technology, Aungier Street, Dublin 2, Ireland

autor

L. Salce

• Dipartimento di Matematica, Via Trieste 63, 35121 Padova, Italy

autor

P. Zanardo

• Dipartimento di Matematica, Via Trieste 63, 35121 Padova, Italy

Identyfikatory

DOI

10.4064/cm136-2-2