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- W2030267850 abstract "We prove that a locally Jaffard integrally closed domain is such that each overring is treed if and only if it is a Prüfer domain. It follows that an integrally closed domain with valuative dimension two such that each overring is treed is necessarily going-down. This solves the long-standing open question raised by D.E. Dobbs in [D.E. Dobbs, On treed overrings and going down domains, Rend. Math. 7 (1987) 317–322]. Further applications are given." @default.
- W2030267850 created "2016-06-24" @default.
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- W2030267850 date "2008-11-01" @default.
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- W2030267850 title "An answer to a Dobbs conjecture about treed domains" @default.
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- W2030267850 doi "https://doi.org/10.1016/j.jalgebra.2008.07.027" @default.
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