Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper.
Un anneau de Prüfer
Let be the ring of integer valued polynomials over . This ring is known to be a Prüfer domain. But it seems there does not exist an algorithm for inverting a nonzero finitely generated ideal of . In this note we show how to obtain such an algorithm by deciphering a classical abstract proof that uses localisations of at all prime ideals of . This confirms a general program of deciphering abstract classical proofs in order to obtain algorithmic proofs.
Un exemple d'anneau caténaire
Une nouvelle caractérisation des anneaux de Prufer