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math.AC2008★ 11 cited
Toward a classification of prime ideals in Prüfer domains
Marco Fontana, Evan Houston, Thomas G. Lucas
The primary purpose of this paper is give a classification scheme for the nonzero primes of a Prüfer domain based on five properties. A prime of a Prüfer domain could be sh…
math.AC2004
Integral Domains whose Simple Overrings are Intersections of Localizations
Marco Fontana, Evan Houston, Thomas Lucas
Call a domain an sQQR-domain if each simple overring of , i.e., each ring of the form with in the quotient field of , is an intersection of localizations of $R…
math.AC2004
The t#-property for intergral domains
Stefania Gabelli, Evan Houston, Thomas G. Lucas
We study a condition on intersections of localizations of a domain at maximal t-ideals. This extends and generalizes earlier work of Gilmer (1967), Gilmer-Heinzer (1968), Olberding…