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Association schemoids and their categories
http://hdl.handle.net/10091/00019814
http://hdl.handle.net/10091/00019814899e77de-efe3-4db5-9078-5ce4c7b9ef3d
| 名前 / ファイル | ライセンス | アクション |
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25610002_02.pdf (290.7 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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| 公開日 | 2017-09-15 | |||||||
| タイトル | ||||||||
| タイトル | Association schemoids and their categories | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| DOI | ||||||||
| 関連識別子 | https://doi.org/10.1007/s10485-013-9327-6 | |||||||
| 関連名称 | 10.1007/s10485-013-9327-6 | |||||||
| キーワード | ||||||||
| 主題 | Association scheme, Small category, Baues-Wirsching cohomology | |||||||
| 資源タイプ | ||||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||||
| タイプ | journal article | |||||||
| 著者 |
Kuribayashi, Katsuhiko
× Kuribayashi, Katsuhiko
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| 信州大学研究者総覧へのリンク | ||||||||
| 氏名 | Kuribayashi, Katsuhiko | |||||||
| URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.WCyFbUTU.html | |||||||
| 出版者 | ||||||||
| 出版者 | SPRINGER | |||||||
| 引用 | ||||||||
| 内容記述 | APPLIED CATEGORICAL STRUCTURES. 23(2):107-136 (2013) | |||||||
| 書誌情報 |
APPLIED CATEGORICAL STRUCTURES 巻 23, 号 2, p. 107-136, 発行日 2013-09-05 |
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| 抄録 | ||||||||
| 内容記述 | 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. | |||||||
| 資源タイプ（コンテンツの種類） | ||||||||
| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 0927-2852 | |||||||
| 書誌レコードID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA1096889X | |||||||
| 権利 | ||||||||
| 権利情報 | The final publication is available at link.springer.com. | |||||||
| 出版タイプ | ||||||||
| 出版タイプ | AM | |||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||
| WoS | ||||||||
| URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000350870400001 | |||||||
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Kuribayashi, Katsuhiko, 2013, Association schemoids and their categories: SPRINGER, 107–136 p.
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