A ``\(v\)-operation free'' approach to Prüfer \(v\)-multiplication domains (Q963494)

Summary: The so-called Prüfer \(v\)-multiplication domains (P\(v\)MDs) are usually defined as domains whose finitely generated nonzero ideals are \(t\)-invertible. These domains generalize Prüfer domains and Krull domains. The P\(v\)MDs are relatively obscure compared to their very well-known special cases. One of the reasons could be that the study of P\(v\)MDs uses the jargon of star operations, such as the \(v\)-operation and the \(t\)-operation. In this paper, we provide characterizations of and basic results on P\(v\)MDs and related notions without star operations.