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• W2029213503 abstract "The Stone representation theorem for Boolean algebras gives us a finite set of equations axiomatizing the class of Boolean set algebras. Boolean set algebras can be considered to be algebras of unary relations. As a contrast here we investigate algebras of $n$-ary relations (originating with Tarski). The new algebras have more operations since there are more natural set theoretic operations on $n$-ary relations than on unary ones. E.g. the identity relation appears as a new constant. The Resek-Thompson theorem we prove here gives a finite set of equations axiomatizing the class of algebras of $n$-ary relations (for every ordinal $n$)." @default.
• W2029213503 created "2016-06-24" @default.
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• W2029213503 creator A5080876991 @default.
• W2029213503 date "1988-02-01" @default.
• W2029213503 modified "2023-09-26" @default.
• W2029213503 title "A Stone-type representation theorem for algebras of relations of higher rank" @default.
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• W2029213503 doi "https://doi.org/10.1090/s0002-9947-1988-0961607-5" @default.
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