Geodesic
Fully inert submodules of torsion-free modules over the ring of $p$-adic integers
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
Colloquium Mathematicum, Tome 136 (2014) no. 2, pp. 169-178 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_cm136_2_2,
     author = {B. Goldsmith and L. Salce and P. Zanardo},
     title = {Fully inert submodules of torsion-free modules over the ring of $p$-adic integers},
     journal = {Colloquium Mathematicum},
     pages = {169--178},
     year = {2014},
     volume = {136},
     number = {2},
     doi = {10.4064/cm136-2-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm136-2-2/}
}
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 Mathematicum
PY  - 2014
SP  - 169
EP  - 178
VL  - 136
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm136-2-2/
DO  - 10.4064/cm136-2-2
LA  - en
ID  - 10_4064_cm136_2_2
ER  - 
%0 Journal Article
%A B. Goldsmith
%A L. Salce
%A P. Zanardo
%T Fully inert submodules of torsion-free modules over the ring of $p$-adic integers
%J Colloquium Mathematicum
%D 2014
%P 169-178
%V 136
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm136-2-2/
%R 10.4064/cm136-2-2
%G en
%F 10_4064_cm136_2_2
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

Cité par Sources :