On the Effectiveness of Partition Regularity over Algebraic Structures
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915726997061632 |
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| author | Laboska, Gabriela |
| author_facet | Laboska, Gabriela |
| contents | Partition regularity over algebraic structures is a topic in Ramsey theory that has been extensively researched by combinatorialists. Motivated by recent work in this area, we investigate the computability-theoretic and reverse-mathematical aspects of partition regularity over algebraic structures--an area that, to the best of our knowledge, has not been explored before. This paper focuses on a 1975 theorem by Straus, which has played a significant role in many of the results in this field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09235 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Effectiveness of Partition Regularity over Algebraic Structures Laboska, Gabriela Logic Partition regularity over algebraic structures is a topic in Ramsey theory that has been extensively researched by combinatorialists. Motivated by recent work in this area, we investigate the computability-theoretic and reverse-mathematical aspects of partition regularity over algebraic structures--an area that, to the best of our knowledge, has not been explored before. This paper focuses on a 1975 theorem by Straus, which has played a significant role in many of the results in this field. |
| title | On the Effectiveness of Partition Regularity over Algebraic Structures |
| topic | Logic |
| url | https://arxiv.org/abs/2504.09235 |