Geodesic
π-domains, overrings, and divisorial ideals
Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 199-203

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we study several generalizations of the concept of unique factorization domain. An integral domain is called a π-domain if every principal ideal is a product of prime ideals. Theorem 1 shows that the class of π-domains forms a rather natural subclass of the class of Krull domains. In Section 3 we consider overrings of π-domains. In Section 4 generalized GCD-domains are introduced: these form an interesting class of domains containing all Prüfer domains and all π-domains. 
Anderson, D. D. π-domains, overrings, and divisorial ideals. Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 199-203. doi: 10.1017/S001708950000361X
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