1. Regular submodules of torsion modules over a discrete valuation domain Creator: Astuti, Pudji and Wimmer, Harald K. Format: bez média and svazek Type: model:article and TEXT Subject: regular submodules, modules over discrete valuation domains, Abelian $p$-groups, and simultaneous bases Language: English Description: 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. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public