التفاصيل البيبلوغرافية
| العنوان: |
A characterization of transfer Krull orders in Dedekind domains with torsion class group |
| المؤلفون: |
Rago, Balint |
| سنة النشر: |
2024 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Commutative Algebra, 11R27, 13A05, 13F05 |
| الوصف: |
We establish a characterization (under some natural conditions) of those orders in Dedekind domains which allow a transfer homomorphism to a monoid of zero-sum sequences. As a consequence, the inclusion map to the Dedekind domain is a transfer homomorphism, with the exception of a particular case. The arithmetic of Krull and Dedekind domains is well understood, and the existence of a transfer homomorphism implies that the order and the associated Dedekind domain share the same arithmetic properties. This is not the case for arbitrary orders in Dedekind domains. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2411.00271 |
| رقم الانضمام: |
edsarx.2411.00271 |
| قاعدة البيانات: |
arXiv |