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Regular submodules of torsion modules over a discrete valuation domain

Pudji Astuti; Harald K. Wimmer — 2006

Czechoslovak Mathematical Journal

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.

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