A Direct Proof of a Theorem concerning Treed Overrings

Ahmed Ayache

International Journal of Mathematics and Mathematical Sciences, 2015, vol. 2015, 1-3

Abstract:

We improve and provide a direct proof of a theorem that answered a question by Dobbs about treed overrings. More precisely, we show that if is an integrally closed local domain and each of its proper overrings is treed, then is a valuation domain or is a PVD with associated valuation overring such that .

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:938648

DOI: 10.1155/2015/938648

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