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Association schemes on triples and a ternary algebra - MaRDI portal

Association schemes on triples and a ternary algebra (Q1813290)

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scientific article; zbMATH DE number 5937
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English
Association schemes on triples and a ternary algebra
scientific article; zbMATH DE number 5937

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    Association schemes on triples and a ternary algebra (English)
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    25 June 1992
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    The notion of association scheme on triples and related ternary nonassociative algebras are introduced as a generalization of the association scheme and the Bose-Mesner algebra. Several interesting identities are obtained. The examples connected with 2-designs, 2- transitive permutation groups and two-graphs are investigated and the notion of partial 3-design is introduced.
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    block design
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    Bose-Mesner algebra
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    2-design
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    permutation groups
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    ternary algebra
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    association scheme
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    identities
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    two-graphs
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    partial 3-design
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