Kota Takeuchi

activity

20142026

most citedOn n-dependence

19 citations · 19 across the 3 of their papers we have counts for

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math.LO2026

Existence of a Model Companion for Groups of Exponent 3

Yawara Ishida, Ryosuke Mizuno, Kota Takeuchi

In this article, we prove that the theory $T_{3}$ of groups of exponent $3$ has a model companion. Previous work established the existence of model companions for theories of groups…

math.LO2020

On the number of independent orders

Kota Takeuchi, Akito Tsuboi

We investigate a model theoretic invariant $κ_{sr d}^{m} (T)$ , which was introduced by Shelah in his famous book, and prove that $κ_{sr d}^{m} (T)$ is sub-additive. When $κ_{sr d}^{m} (T)$ is…

math.LO2014★ 19 cited

On n-dependence

Artem Chernikov, Daniel Palacin, Kota Takeuchi

In this note we develop and clarify some of the basic combinatorial properties of the new notion of $n$ -dependence (for $1 \leq n < ω$ ) recently introduced by Shelah. In the same wa…