A note on certain semigroups of algebraic numbers

• Autorzy: Maciej Radziejewski
• Języki publikacji: EN

Abstrakty

EN

The cross number κ(a) can be defined for any element a of a Krull monoid. The property κ(a) = 1 is important in the study of algebraic numbers with factorizations of distinct lengths. The arithmetic meaning of the weaker property, κ(a) ∈ ℤ, is still unknown, but it does define a semigroup which may be interesting in its own right. This paper studies some arithmetic(divisor theory) and analytic(distribution of elements with a given norm) properties of that semigroup and a related semigroup of ideals.

Kategorie tematyczne

• 11M41: Other Dirichlet series and zeta functions
• 11N45: Asymptotic results on counting functions for algebraic and topological structures
• 11R27: Units and factorization

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 90
• Numer: 1
• Strony: 51-58

Daty

wydano

2001

Twórcy

autor

Maciej Radziejewski

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

Identyfikatory

DOI

10.4064/cm90-1-4