Stacked submodules of torsion modules over discrete valuation domains. (English) Zbl 1049.13005
Summary: A submodule \(W\) of a torsion module \(M\) over a discrete valuation domain is called stacked in \(M\) if there exists a basis \({\mathcal B}\) of \(M\) such that multiples of elements of \({\mathcal B}\) form a basis of \(W\). We characterise those submodules which are stacked in a pure submodule of \(M\).
MSC:
| 13C12 | Torsion modules and ideals in commutative rings |
| 13F30 | Valuation rings |
| 13B02 | Extension theory of commutative rings |
References:
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