Locally principal ideals and finite character. (English) Zbl 1289.13003
Summary: 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.
MSC:
13A15 | Ideals and multiplicative ideal theory in commutative rings |