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On the variety question for wRRA - MaRDI portal

On the variety question for wRRA (Q2474097)

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On the variety question for wRRA
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    On the variety question for wRRA (English)
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    5 March 2008
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    A relation algebra \(U\) is said to be representable if it is isomorphic to a proper relation algebra (or a set relation algebra); it is said to be weakly representable if it has a representation respecting all the operations except \(+\) and \(-.\) In this paper the author considers a question of \textit{B. Jónsson} [Trans. Am. Math. Soc. 92, 449--464 (1959; Zbl 0105.25302)], whether the class of weakly representable relations algebras is a variety. He proves that the class is closed under taking homomorphic images provided that a certain embedding condition holds.
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    variety
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    relation algebra reducts
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    weak representation
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    point relations
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