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A non-Noetherian two-dimensional Hilbert domain with principal maximal ideals. (English) Zbl 0356.13006


MSC:

13E05 Commutative Noetherian rings and modules
13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations
13G05 Integral domains
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
13A05 Divisibility and factorizations in commutative rings
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