Finite representations for two small relation algebras

Jeremy F. Alm; Roger D. Maddux

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arXiv · 1712.00129

Finite representations for two small relation algebras

Jeremy F. Alm·Roger D. Maddux

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Abstract

In this note, we give two different proofs that relation algebra $52_{65}$ is representable over a finite set. The first is probabilistic, and uses Johnson schemes. The second is an explicit group representation over $ (\mathbb{Z}/2\mathbb{Z})^{10}$. We also give a finite representation of $59_{65}$ over $\mathbb{Z}/113\mathbb{Z}$ using a technique due to Comer.

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BibTeX RIS

Jeremy F. Alm, Roger D. Maddux. 2017-11-30. Finite representations for two small relation algebras. https://arxiv.org/abs/1712.00129

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