A generalized Davenport constant of the second kind
Abstract
In this paper, we explore a ring invariant which is closely related to the Davenport constant of a group. In particular, we will calculate this invariant for a certain class of rings of integers and their orders and use it to understand factorization properties of the latter. To this end, we also examine the well-behaved class of Galois-invariant orders.
Fields of Study & Subjects
Rings
Modules
and Algebras
Advanced Algebra and Geometry
Analytic Number Theory Research
Publication details
- Journal / source
- Contemporary mathematics - American Mathematical Society
- Pages
- 181–194
- Publication date
- 1 January 2026
- Language
- EN
- Document type
- Book chapter