Decidability for the theory of modules over a Prüfer domain
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866929630830657536 |
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| author | Gregory, Lorna |
| author_facet | Gregory, Lorna |
| contents | In this paper we give elementary conditions completely characterising when the theory of modules of a Prüfer domain is decidable. Using these results, we show that the theory of modules of the ring of integer valued polynomials is decidable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_05152 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Decidability for the theory of modules over a Prüfer domain Gregory, Lorna Logic Commutative Algebra 03C60 (primary), 03C98, 03B25, 13F05 In this paper we give elementary conditions completely characterising when the theory of modules of a Prüfer domain is decidable. Using these results, we show that the theory of modules of the ring of integer valued polynomials is decidable. |
| title | Decidability for the theory of modules over a Prüfer domain |
| topic | Logic Commutative Algebra 03C60 (primary), 03C98, 03B25, 13F05 |
| url | https://arxiv.org/abs/2107.05152 |