A nonpermutational integral relation algebra (Q1803909)

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scientific article; zbMATH DE number 222023
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A nonpermutational integral relation algebra
scientific article; zbMATH DE number 222023

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    A nonpermutational integral relation algebra (English)
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    29 June 1993
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    The authors, starting from a problem raised by McKenzie, show that there are infinitely many nonpermutational integral relation set algebras such that a nonprincipal ultraproduct of these is permutable. They infer that the class of all permutational relation algebras is not finitely axiomatizable over the class of all integral relation set algebras. The paper is remarkably self-contained.
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    nonpermutational integral relation set algebras
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    nonprincipal ultraproduct
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    permutational relation algebras
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    finitely axiomatizable
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