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Invariant Sets and Normal Subgroupoids of Universal Étale Groupoids Induced by Congruences of Inverse Semigroups
http://hdl.handle.net/10228/0002001672
http://hdl.handle.net/10228/00020016725429636d-4463-4160-aab6-c35885c388a4
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
10451134.pdf (296.0 KB)
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| Item type | 共通アイテムタイプ(1) | |||||
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| 公開日 | 2025-05-12 | |||||
| タイトル | ||||||
| タイトル | Invariant Sets and Normal Subgroupoids of Universal Étale Groupoids Induced by Congruences of Inverse Semigroups | |||||
| 言語 | en | |||||
| その他のタイトル | ||||||
| その他のタイトル | INVARIANT SETS and NORMAL SUBGROUPOIDS of UNIVERSAL ÉTALE GROUPOIDS INDUCED by CONGRUENCES of INVERSE SEMIGROUPS | |||||
| 言語 | en | |||||
| 著者 |
紅村, 冬大
× 紅村, 冬大 |
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| 著作権関連情報 | ||||||
| 言語 | en | |||||
| 権利情報Resource | http://creativecommons.org/licenses/by/4.0/ | |||||
| 権利情報 | Copyright (c) Australian Mathematical Publishing Association Inc. 2021 This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | For a given inverse semigroup, one can associate an étale groupoid which is called the universal groupoid. Our motivation is studying the relation between inverse semigroups and associated étale groupoids. In this paper, we focus on congruences of inverse semigroups, which is a fundamental concept for considering quotients of inverse semigroups. We prove that a congruence of an inverse semigroup induces a closed invariant set and a normal subgroupoid of the universal groupoid. Then we show that the universal groupoid associated to a quotient inverse semigroup is described by the restriction and quotient of the original universal groupoid. Finally we compute invariant sets and normal subgroupoids induced by special congruences including abelianization. | |||||
| 言語 | en | |||||
| 書誌情報 |
en : Journal of the Australian Mathematical Society 巻 113, 号 1, p. 99-118, 発行日 2021-04-13 |
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| 出版社 | ||||||
| 出版者 | Cambridge University Press | |||||
| 言語 | en | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | C*-algebras | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | étale groupoids | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| DOI | ||||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.1017/S1446788721000021 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 1446-7887 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | EISSN | |||||
| 収録物識別子 | 1446-8107 | |||||
| 査読の有無 | ||||||
| 値 | yes | |||||
| 研究者情報 | ||||||
| URL | https://hyokadb02.jimu.kyutech.ac.jp/html/100001886_ja.html | |||||
| 論文ID（連携） | ||||||
| 値 | 10451134 | |||||
| 連携ID | ||||||
| 値 | 14476 | |||||
