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arXiv · 1403.1394

On finitely stable domains

Stefania Gabelli·Moshe Roitman
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Abstract

We study Archimedean and locally Archimedean stable domains. We prove that a domain is stable and one-dimensional if and only if it is finitely stable and Mori. But we give examples of Archimedean stable local domains that are not one-dimensional. We also prove that a locally Archimedean stable domain satisfies accp and that Archimedean stable semilocal domains are locally Archimedean. But generally, neither Archimedean stable domains, nor Archimedean semilocal domains are necessarily locally Archimedean.

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Stefania Gabelli, Moshe Roitman. 2014-03-06. On finitely stable domains. https://arxiv.org/abs/1403.1394

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