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Boundary map and overrings of half-factorial domains

Nathalie Gonzalez; Sébastien Pellerin — 2005

Bollettino dell'Unione Matematica Italiana

We investigate factorization of elements in overrings of a half-factorial domain $A$ in relation with the behaviour of the boundary map of $A$ . It turns out that a condition, called $C^{⋆}$ , on the extension plays a central role in this study. We finally apply our results to the special case of $A + X B [X]$ polynomial rings.

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