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Construction of schemoids from posets

2016/03/02 by Yasuhide Numata, Numata, Yasuhide · 1 citation
Computer Science · Arts and Humanities · #semigroups and automata theory #Constraint Satisfaction and Optimization #Syntax, Semantics, Linguistic Variation

paper · pdf · doi:10.48550/arxiv.1603.00601

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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