Uncountable \(n\)-dimensional excellent regular local rings with countable spectra. (English) Zbl 1428.13028
M. Hochster [Trans. Am. Math. Soc. 142, No 1, 43–60 (1969; Zbl 0184.29401)] obtained conditions under which a partially ordered set can be realized as the spectrum of a commutative ring. But when we place further restrictions on the resulting ring we have little known. Some results about Noetherian rings was obtained by R. Wiegand, S. Wiegand, and Colbert. The authors of the paper under this review prove that for any \(n \geq 0\), there exists an uncountable \(n\)-dimensional excellent regular local ring with a countable spectrum.
Reviewer: Nikolay I. Kryuchkov (Ryazan)
Citations:
Zbl 0184.29401References:
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