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A Direct Proof of a Theorem concerning Treed Overrings

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  • Ahmed Ayache

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 .

Suggested Citation

  • Ahmed Ayache, 2015. "A Direct Proof of a Theorem concerning Treed Overrings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2015, pages 1-3, July.
    • Handle: RePEc:hin:jijmms:938648
    DOI: 10.1155/2015/938648
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