Notes on Algebraic Properties and Non-Standard Analysis of the Ring of Integers Modulo Infinitely Large Primes
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917452990906368 |
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| author | Mihara, Tomoki |
| author_facet | Mihara, Tomoki |
| contents | We summarise known algebraic and model theoretic results on the ring $\mathscr{A}$ of integers modulo infinitely large primes for number theorists, and share topics in transcendental number theory with algebraists and model theorists. In particular, we extend transcendence criteria by Anzawa--Funakura and Matsusaka--Seki in order to show application of non-standard analysis to the study of transcendence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00512 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Notes on Algebraic Properties and Non-Standard Analysis of the Ring of Integers Modulo Infinitely Large Primes Mihara, Tomoki Number Theory Logic We summarise known algebraic and model theoretic results on the ring $\mathscr{A}$ of integers modulo infinitely large primes for number theorists, and share topics in transcendental number theory with algebraists and model theorists. In particular, we extend transcendence criteria by Anzawa--Funakura and Matsusaka--Seki in order to show application of non-standard analysis to the study of transcendence. |
| title | Notes on Algebraic Properties and Non-Standard Analysis of the Ring of Integers Modulo Infinitely Large Primes |
| topic | Number Theory Logic |
| url | https://arxiv.org/abs/2605.00512 |