What is the relation between fractional ideals and divisors on curves?

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I've done courses in Algebraic Number Theory and Algebraic Geometry, where I learned the theory of Dedekind domains (in ANT) and Divisors (in AG). Now, the wikipedia article on divisors says the following:

"The name "divisor" goes back to the work of Dedekind and Weber, who showed the relevance of Dedekind domains to the study of algebraic curves. The group of divisors on a curve (the free abelian group on its set of points) is closely related to the group of fractional ideals for a Dedekind domain."

So my question is:

What is this relation between fractional ideals and the group of divisors on a curve?

I would also appreciate some references that explain this relation in detail. Thank you in advance!