A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
Let D be an integral domain with integral closure D. We show that the group of divisibility G(D) of D is finitely generated if and only if G(D) is finitely generated and D/[D : D] is finite. We also show that G(D) is finitely generated if and only if the monoid of finitely generated fractional ideals of D (under multiplication) is finitely generated.doi:10.1090/s0002-9939-1991-1055765-x fatcat:b6jkfmgztfgkrfqoyll6xivhw4