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arxiv: 1601.06356 · v1 · pith:E77HD5LCnew · submitted 2016-01-24 · 🧮 math.AC · math.GR

Regular submodules of torsion modules over a discrete valuation domain

classification 🧮 math.AC math.GR
keywords regularsubmodulebasesboundedconditionsderivediscretedomain
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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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