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.
Fully inert submodules of torsion-free modules over the ring of p-adic integers
SALCE, LUIGI;ZANARDO, PAOLO
2014
Abstract
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.
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