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Keywords:
regular submodules; modules over discrete valuation domains; Abelian $p$-groups; simultaneous bases
regular submodules; modules over discrete valuation domains; Abelian $p$-groups; simultaneous bases
Summary:
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.
References:
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