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A schemoid is a generalization of association schemes from the point of viewof small categories. In this article, we discuss schemoid structures for twokinds of small categories; the canonical small category defined by a poset, andanother small category which arises a poset. We also discuss the schemoidalgebra, that is an analogue of the Bose--Mesner algebra for an associationscheme, for them.

Construction of schemoids from posets