Fully inert submodules of torsion-free modules over the ring of p-adic integers
B. Goldsmith ; L. Salce ; P. Zanardo
Colloquium Mathematicae, Tome 135 (2014), p. 169-178 / Harvested from The Polish Digital Mathematics Library
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Fully inert submodules of torsion-free Jp-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 Jp-modules for which this property fails.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:283744 
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     title = {Fully inert submodules of torsion-free modules over the ring of p-adic integers},
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     volume = {135},
     year = {2014},
     pages = {169-178},
     zbl = {1304.13018},
     language = {en},
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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 Mathematicae, Tome 135 (2014) pp. 169-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm136-2-2/