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Construction of schemoids from posets
Published 2 Mar 2016 in math.CO and math.CT | (1603.00601v2)
Abstract: A schemoid is a generalization of association schemes from the point of view of small categories. In this article, we discuss schemoid structures for two kinds of small categories; the canonical small category defined by a poset, and another small category which arises a poset. We also discuss the schemoid algebra, that is an analogue of the Bose--Mesner algebra for an association scheme, for them.
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