Finite representations for two small relation algebras |
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Authors: | Jeremy F Alm Roger D Maddux |
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Institution: | 1.Department of Mathematics,Lamar University,Beaumont,USA;2.Department of Mathematics,Iowa State University,Ames,USA |
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Abstract: | In this note, we prove that two different finite relation algebras are representable over finite sets. We give an explicit group representation of \(52_{65}\) over \( (\mathbb {Z}/2\mathbb {Z})^{10}\). We also give a representation of \(59_{65}\) over \(\mathbb {Z}/113\mathbb {Z}\) using a technique due to Comer. |
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