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

B. Goldsmith, L. Salce, and P. Zanardo. "Fully inert submodules of torsion-free modules over the ring of p-adic integers." Colloquium Mathematicae 136.2 (2014): 169-178. <http://eudml.org/doc/283744>.

@article{B2014,
abstract = {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.},
author = {B. Goldsmith, L. Salce, P. Zanardo},
journal = {Colloquium Mathematicae},
keywords = {fully inert submodules; commensurable submodules; free -modules; torsion-free -modules; complete -modules.},
language = {eng},
number = {2},
pages = {169-178},
title = {Fully inert submodules of torsion-free modules over the ring of p-adic integers},
url = {http://eudml.org/doc/283744},
volume = {136},
year = {2014},
}

TY - JOUR
AU - B. Goldsmith
AU - L. Salce
AU - P. Zanardo
TI - Fully inert submodules of torsion-free modules over the ring of p-adic integers
JO - Colloquium Mathematicae
PY - 2014
VL - 136
IS - 2
SP - 169
EP - 178
AB - 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.
LA - eng
KW - fully inert submodules; commensurable submodules; free -modules; torsion-free -modules; complete -modules.
UR - http://eudml.org/doc/283744
ER -