Constructing bad Noetherian local domains using derivations (Q583285)

This paper contains an explicit construction of commutative noetherian local domains R of dimension 1 or 2 having the integral closure infinitely generated as an R-module. Such examples are constructed having arbitrary embedding dimension and multiplicity. Moreover, R supports a derivation leaving no ideals invariant. The method is to define a subring R of a power series algebra by using a derivation. The computations required to show that R has the desired properties are rather straightforward.