Finite local principal ideal rings
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866916671863652352 |
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| author | van der Lee, Matthé |
| author_facet | van der Lee, Matthé |
| contents | Every finite local principal ideal ring is the homomorphic image of a discrete valuation ring of a number field, and is determined by five invariants. We present an action of a group, non-commutative in general, on the set of Eisenstein polynomials, of degree matching the ramification index of the ring, over the coefficient ring. The action is defined by taking resultants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_07664 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite local principal ideal rings van der Lee, Matthé Commutative Algebra 13F10, 13M99 Every finite local principal ideal ring is the homomorphic image of a discrete valuation ring of a number field, and is determined by five invariants. We present an action of a group, non-commutative in general, on the set of Eisenstein polynomials, of degree matching the ramification index of the ring, over the coefficient ring. The action is defined by taking resultants. |
| title | Finite local principal ideal rings |
| topic | Commutative Algebra 13F10, 13M99 |
| url | https://arxiv.org/abs/2301.07664 |