Geodesic
Fully inert submodules of torsion-free modules over the ring of $p$-adic integers
B. Goldsmith1 ; L. Salce2 ; P. Zanardo2
1 Dublin Institute of Technology Aungier Street Dublin 2, Ireland
2 Dipartimento di Matematica Via Trieste 63 35121 Padova, Italy
Colloquium Mathematicum, Tome 136 (2014) no. 2, pp. 169-178.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm136-2-2
Keywords: fully inert submodules torsion free p modules investigated proved module considered either complete these submodules exactly those which commensurable fully invariant submodules examples given torsion free p modules which property fails

B. Goldsmith 1 ; L. Salce 2 ; P. Zanardo 2

1 Dublin Institute of Technology Aungier Street Dublin 2, Ireland
2 Dipartimento di Matematica Via Trieste 63 35121 Padova, Italy 
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B. Goldsmith; L. Salce; P. Zanardo. Fully inert submodules of torsion-free modules over the ring of $p$-adic integers. Colloquium Mathematicum, Tome 136 (2014) no. 2, pp. 169-178. doi : 10.4064/cm136-2-2. http://geodesic.mathdoc.fr/articles/10.4064/cm136-2-2/

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