Stefania Gabelli: Locally principal ideals and finite character, p.99-108

Abstract:

It is well-known that if $R$ is a domain with finite character, each locally principal nonzero ideal of $R$ is invertible. We address the problem of understanding when the converse is true and survey some recent results.

Key Words: Invertible ideal, finite character, stable domain.

2000 Mathematics Subject Classification: Primary: 13C10;
Secondary: 13A15, 13G05.

Download the paper in pdf format here.