Chains of factorizations in orders of global fields

• Autorzy: Alfred Geroldinger
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 72
• Numer: 1
• Strony: 83-102

Daty

wydano

1997

otrzymano

1995-10-23

Twórcy

autor

Alfred Geroldinger

• Institut für Mathematik, Karl-Franzens-Universität, Heinrichstraße 36, 8010 Graz, Austria

Bibliografia

• [Ch] S. Chapman, On the Davenport constant, the Cross number, and their application in factorization theory, in: Zero-Dimensional Commutative Rings, Lecture Notes in Pure and Appl. Math. 171, Marcel Dekker, 1995, 167-190.
• [Ge1] A. Geroldinger, Über nicht-eindeutige Zerlegungen in irreduzible Elemente, Math. Z. 197 (1988), 505-529.
• [Ge2] A. Geroldinger, Factorizations of algebraic integers, in: Number Theory, Lecture Notes in Math. 1380, Springer, 1989, 63-74.
• [Ge3] A. Geroldinger, Chains of factorizations in weakly Krull domains, this volume, 53-81.
• [G-HK-K] A. Geroldinger, F. Halter-Koch and J. Kaczorowski, Non-unique factorizations in orders of global fields, J. Reine Angew. Math. 459 (1995), 89-118.
• [La] S. Lang, Algebraic Number Theory, Grad. Texts in Math. 110, Springer, 1986.
• [Na] W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers, Springer, 1990.
• [Ne] J. Neukirch, Algebraische Zahlentheorie, Springer, 1992.