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arxiv: 1603.00601 · v2 · pith:7MDK6VX3new · submitted 2016-03-02 · 🧮 math.CO · math.CT

Construction of schemoids from posets

classification 🧮 math.CO math.CT
keywords smallschemoidalgebraassociationcategoriescategorydiscussposet
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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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