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On Mitchell's embedding theorem for a quasi-schemoid
http://hdl.handle.net/10091/00019813
http://hdl.handle.net/10091/000198139d379ede-204f-49f9-9de2-6762d79e4b59
名前 / ファイル | ライセンス | アクション |
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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 | On Mitchell's embedding theorem for a quasi-schemoid | |||||||
言語 | ||||||||
言語 | eng | |||||||
DOI | ||||||||
関連識別子 | https://doi.org/10.1016/j.jalgebra.2016.03.019 | |||||||
関連名称 | 10.1016/j.jalgebra.2016.03.019 | |||||||
キーワード | ||||||||
主題 | Schemoid, Functor category, Model category, Morita equivalence | |||||||
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 | ACADEMIC PRESS INC ELSEVIER SCIENCE | |||||||
引用 | ||||||||
内容記述 | JOURNAL OF ALGEBRA. (458):222-248 (2016) | |||||||
書誌情報 |
JOURNAL OF ALGEBRA 巻 458, p. 222-248, 発行日 2016-07-15 |
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抄録 | ||||||||
内容記述 | A quasi-schemoid is a small category whose morphisms are colored with appropriate combinatorial data. In this paper, Mitchell's embeddingtheorem for a tame schemoid is established. The result allows us to give a cofibrantly generated model category structure to the category of chain complexes over a functor category with a schemoid as the domain. Moreover, a notion of Morita equivalence for schemoids is introduced and discussed. In particular, we show that every Hamming scheme of binary codes is Morita equivalent to the association scheme arising from the cyclic group of order two. In an appendix, we construct a new schemoid from an abstract simplicial complex, whose Bose-Mesner algebra is closely related to the Stanley-Reisner ring of the given complex. | |||||||
資源タイプ(コンテンツの種類) | ||||||||
内容記述 | Article | |||||||
ISSN | ||||||||
収録物識別子タイプ | ISSN | |||||||
収録物識別子 | 0021-8693 | |||||||
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収録物識別子タイプ | NCID | |||||||
収録物識別子 | AA00692420 | |||||||
権利 | ||||||||
権利情報 | © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | |||||||
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=000376814300013 |