Geodesic
Regular submodules of torsion modules over a discrete valuation domain
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 349-357

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A submodule $W$ of a $p$-primary module $M$ of bounded order is known to be regular if $W$ and $M$ have simultaneous bases. In this paper we derive necessary and sufficient conditions for regularity of a submodule.
Classification : 13C12, 20K10, 20K25
Keywords: regular submodules; modules over discrete valuation domains; Abelian $p$-groups; simultaneous bases 
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     author = {Astuti, Pudji and Wimmer, Harald K.},
     title = {Regular submodules of torsion modules over a discrete valuation domain},
     journal = {Czechoslovak Mathematical Journal},
     pages = {349--357},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {2006},
     mrnumber = {2291741},
     zbl = {1155.13304},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a5/}
}
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Astuti, Pudji; Wimmer, Harald K. Regular submodules of torsion modules over a discrete valuation domain. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 349-357. http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a5/