Unruly Hilbert Domains
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 106-109

Voir la notice de l'article provenant de la source Cambridge University Press

We give a simple construction of non-Noetherian Hilbert domains whose maximal ideals are all finitely generated. Such domains we call unruly Hilbert domains.
DOI : 10.4153/CMB-1990-018-5
Mots-clés : 13G05, 13B20, 13B25, 13F20, Hilbert domain, Noetherian domain, Bezout domain, Krull dimension
Mott, J. L.; Zafrullah, M. Unruly Hilbert Domains. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 106-109. doi: 10.4153/CMB-1990-018-5
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[1] 1. Brewer, J. and Rutter, E. A., D +M constructions with general overrings, Mich. Math. J. 23 (1976), 33–42. Google Scholar

[2] 2. Costa, D., Mott, J. and Zafrullah, M., The construction D +xDs[x], J. Algebra 53 (1978), 423–439. Google Scholar

[3] 3. Costa, D., Mott, J. and Zafrullah, M., Overrings and dimensions of general D + M constructions, J. of Nat. Sci. and Math. 26 (1986), 7–14. Google Scholar

[4] 4. Gilmer, R. and Heinzer, W., A non-No ether ian two-dimensional Hilbert domain with principal maximal ideals, Mich. Math. J. 23 (1976), 353–362. Google Scholar

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