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Models of a \(K\)-rational identity system - MaRDI portal

Models of a \(K\)-rational identity system (Q1201883)

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scientific article; zbMATH DE number 98623
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Models of a \(K\)-rational identity system
scientific article; zbMATH DE number 98623

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    Models of a \(K\)-rational identity system (English)
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    17 January 1993
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    The author studies the algebra of rational expressions over a positive semiring. Interpretation and substitution are defined. Using the concept of model, he is able to show that every complete system of \(K\)-rational identities must be infinite, extending a result of Conway for \(K\) = the boolean semiring.
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    rational expressions
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    positive semiring
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