A Generalized Davenport Constant of the Second Kind
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912913210474496 |
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| author | Kettinger, Jared |
| author_facet | Kettinger, Jared |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13532 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Generalized Davenport Constant of the Second Kind Kettinger, Jared Commutative Algebra 13A05 (Primary) 11R04, 11R65 (Secondary) 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. |
| title | A Generalized Davenport Constant of the Second Kind |
| topic | Commutative Algebra 13A05 (Primary) 11R04, 11R65 (Secondary) |
| url | https://arxiv.org/abs/2506.13532 |