Finite representations for two small relation algebras |
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Authors: | Jeremy F. Alm Roger D. Maddux |
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Affiliation: | 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}/2mathbb {Z})^{10}). We also give a representation of (59_{65}) over (mathbb {Z}/113mathbb {Z}) using a technique due to Comer. |
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