Geodesic
Boundary map and overrings of half-factorial domains
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 1, pp. 173-185

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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 $\mathcal{C}^{\star}$, on the extension plays a central role in this study. We finally apply our results to the special case of $A+XB[X]$ polynomial rings. 
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     author = {Gonzalez, Nathalie and Pellerin, S\'ebastien},
     title = {Boundary map and overrings of half-factorial domains},
     journal = {Bollettino della Unione matematica italiana},
     pages = {173--185},
     publisher = {mathdoc},
     volume = {Ser. 8, 8B},
     number = {1},
     year = {2005},
     zbl = {1150.13003},
     mrnumber = {MR2122982},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a9/}
}
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Gonzalez, Nathalie; Pellerin, Sébastien. Boundary map and overrings of half-factorial domains. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 1, pp. 173-185. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a9/