Abstract

A well-known property of Dedekind domains is that each nonzero ideal can be uniquely factored as a finite product of powers of the maximal ideals that contain the ideal. One of the questions to be addressed in this paper is to what extent this property can be extended to the finitely generated ideals of an almost Dedekind domain. A related question involves a way to measure how far a given almost Dedekind domain is from being a Dedekind domain.

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