English

Construction of schemoids from posets

Combinatorics 2016-11-16 v2 Category Theory

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.

Keywords

Cite

@article{arxiv.1603.00601,
  title  = {Construction of schemoids from posets},
  author = {Yasuhide Numata},
  journal= {arXiv preprint arXiv:1603.00601},
  year   = {2016}
}
R2 v1 2026-06-22T13:01:48.411Z