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arXiv · 2504.09235

On the Effectiveness of Partition Regularity over Algebraic Structures

Gabriela Laboska
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Abstract

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.

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Gabriela Laboska. 2025-04-12. On the Effectiveness of Partition Regularity over Algebraic Structures. https://doi.org/10.1017/jsl.2025.10178

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