Affiliation:
1. Faculty of Science, Sana’a University, P.O. Box 12460, Sana’a, Yemen
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 ifRis an integrally closed local domain and each of itsproperoverrings is treed, thenRis a valuation domain orRis a PVD with associated valuation overringVsuch thattr.deg[V/M:R/M]=1.
Subject
Mathematics (miscellaneous)
Cited by
1 articles.
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1. Strongly divided domains;Ricerche di Matematica;2016-02-02