13 Divisorial Ideals and Class Groups of Mori Domains

Stefania Gabelli Dipartimento di Matematica, Università di Roma “La Sapienza”, Piazzale A. Moro 5,00185 Roma, Italy; e-mail MARTA@ITCASPUR.bitnet

The properties of divisorial ideals and class groups of noetherian integrally closed domains, more generally of Krull domains, have been extensively studied in the past and are now well known [F]. More recently, the notion of class group has been introduced for any domain in [Bv] and [BvZ] and its general properties have been studied by several authors (see for example [A], [AA], [Aaz], [ARy], [G], [GRt], [NA], [Ry]). However the structure of the class group is known for only a few special families of domains.

A first class of domains for which ...

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