Binary relations, interval structures and join spaces (Q1847601)

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scientific article; zbMATH DE number 1836028
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Binary relations, interval structures and join spaces
scientific article; zbMATH DE number 1836028

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    Binary relations, interval structures and join spaces (English)
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    10 December 2002
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    An interval structure can be represented by a binary relation. A hyperoperation is defined on a set equipped with a binary relation. In this paper the hyperstructures based on the related interval structures are studied. Some necessary and sufficient conditions on these hyperstructures to be hypergroups, join spaces and \(H_v\)-groupoids are obtained.
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    hyperstructures
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    interval structures
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    hypergroups
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    join spaces
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    \(H_v\)-groupoids
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