Well-behaved prime t-ideals and almost Krull domains

Abstract

Call a t-ideal I of an integral domain R well-behaved if IRS is a t-ideal in RS for every multiplicatively closed subset S of R that is disjoint from I. We show that the set of well-behaved t-ideals has maximal elements and use the induced star operation to study the almost Krull domains (domains whose localizations are Krull) introduced by E. Pirtle.