Thomas Lucas

collaborators

2 papers

math.AC2006

Factoring Ideals in Prüfer Domains

Marco Fontana, Evan Houston, Tom Lucas

We show that in certain Prüfer domains, each nonzero ideal $I$ can be factored as $I = I^{v} Π$ , where $I^{v}$ is the divisorial closure of $I$ and $Π$ is a product of maximal ideals. Th…

math.AC2004

Integral Domains whose Simple Overrings are Intersections of Localizations

Marco Fontana, Evan Houston, Thomas Lucas

Call a domain $R$ an sQQR-domain if each simple overring of $R$ , i.e., each ring of the form $R [u]$ with $u$ in the quotient field of $R$ , is an intersection of localizations of $R…