Dipartimento di Matematica, Università degli Studi ``Roma Tre', Largo San L. Murialdo 1, 00146 Roma, Italy ; Department of Mathematics, P.O. Box 5046, KFUPM, Dhahran 31261, Saudi Arabia
Abstract:
This note investigates two long-standing conjectures on the Krull dimension of integer-valued polynomial rings and of polynomial rings in the context of (locally) essential domains.