Finite unions of overrings of an integral domain

 13 May 2020
 Mathematics - Research News

Christian Gottlieb. Source: Journal of Commutative Algebra, Volume 12, Number 1, 87--90.Abstract:
Let [math] be an integral domain, and let [math] be overrings of [math] , where [math] is of the form [math] , where [math] for some prime ideals [math] , and where each [math] , [math] , is of the form [math] for some multiplicatively closed subset [math] of [math] . It is shown that if [math] , then [math] for some  [math] .