Topology, intersections and flat modules.

Carmelo Antonio Finocchiaro, Dario Spirito

Research output: Contribution to journalArticlepeer-review


It is well known that, in general, multiplication by an ideal I does not commute with the intersection of a family of ideals, but that this fact holds if I is flat and the family is finite. We generalize this result by showing that finite families of ideals can be replaced by compact subspaces of a natural topological space, and that ideals can be replaced by submodules of an epimorphic extension of a base ring. As a particular case, we give a new proof of a conjecture by Glaz and Vasconcelos.
Original languageEnglish
Pages (from-to)4125 - 4133
JournalProceedings of the American Mathematical Society
Issue number10
Publication statusPublished - 2016


Dive into the research topics of 'Topology, intersections and flat modules.'. Together they form a unique fingerprint.

Cite this