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1169:1170
Association schemoids and their categories
Kuribayashi, Katsuhiko
The final publication is available at link.springer.com.
Association scheme
Small category
Baues-Wirsching cohomology
We propose the notion of association schemoids generalizing that of association schemes from small categorical points of view. In particular, a generalization of the Bose-Mesner algebra of an association scheme appears as a subalgebra in the category algebra of the underlying category of a schemoid. In this paper, the equivalence between the categories of groupoids and that of thin association schemoids is established. Moreover linear extensions of schemoids are considered. A general theory of the Baues-Wirsching cohomology deduces a classification theorem for such extensions of a schemoid. We also introduce two relevant categories of schemoids into which the categories of schemes due to Hanaki and due to French are embedded, respectively.
Article
APPLIED CATEGORICAL STRUCTURES. 23(2):107-136 (2013)
SPRINGER
2013-09-05
eng
journal article
AM
http://hdl.handle.net/10091/00019814
https://soar-ir.repo.nii.ac.jp/records/19052
https://doi.org/10.1007/s10485-013-9327-6
10.1007/s10485-013-9327-6
0927-2852
AA1096889X
APPLIED CATEGORICAL STRUCTURES
23
2
107
136
https://soar-ir.repo.nii.ac.jp/record/19052/files/25610002_02.pdf
application/pdf
290.7 kB
2017-09-15