The perfection can be a non-coherent GCD domain
arXiv:2401.00803
Abstract
We show that there exists a complete local Noetherian normal domain of prime characteristic whose perfection is a non-coherent GCD domain, answering a question of Patankar in the negative concerning characterizations of -coherent rings. This recovers and extends a result of Glaz using tight closure methods.
6 pages, comments welcome. To appear in J. Commut. Algebra