It is proved that if R is a 2-root closed two-dimensional going-down domain with no factor domain of characteristic 2, then each integral overring of R is a going-down domain. An example is given to show that the "2-root closed" hypothesis cannot be deleted.
Dobbs, D.e., Fontana, M. (1992). INTEGRAL OVERRINGS OF 2-DIMENSIONAL GOING-DOWN DOMAINS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 115(3), 655-662 [10.2307/2159211].
INTEGRAL OVERRINGS OF 2-DIMENSIONAL GOING-DOWN DOMAINS
FONTANA, Marco
1992-01-01
Abstract
It is proved that if R is a 2-root closed two-dimensional going-down domain with no factor domain of characteristic 2, then each integral overring of R is a going-down domain. An example is given to show that the "2-root closed" hypothesis cannot be deleted.File in questo prodotto:
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