Arithmetical characterization of class groups of the form a"currency sign/na"currency signaS center dot a"currency sign/na"currency sign via the system of sets of lengths

作者：Schmid Wolfgang A^*

来源：Abhandlungen aus Dem Mathematischen Seminar der Universitat Hamburg, 2009, 79(1): 25-35.

DOI：10.1007/s12188-008-0010-z

• Class group
• Non-unique factorization
• Krull monoid

Let H be a Krull monoid with finite class group such that each class contains a prime divisor (e.g., the multiplicative monoid of the ring of algebraic integers of some number field). It is shown that it can be determined whether the class group is of the form a"currency sign/na"currency signaS center dot a"currency sign/na"currency sign, for na parts per thousand yen3, just by considering the system of sets of lengths of H.

• 出版日期2009-6