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ベクトル空間の公理系の一部を欠く集合の構成と同値関係によるベクトル空間化
https://setsunan.repo.nii.ac.jp/records/1527
https://setsunan.repo.nii.ac.jp/records/15275e77e987-e4a5-4e0f-b833-c7af10131009
名前 / ファイル | ライセンス | アクション |
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ベクトル空間の公理系の一部を欠く集合の構成と同値関係によるベクトル空間化 (236.7 kB)
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Copyright(c)2023 by Setsunan University
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2023-03-17 | |||||
タイトル | ||||||
タイトル | ベクトル空間の公理系の一部を欠く集合の構成と同値関係によるベクトル空間化 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | On the construction of sets lacking a part of the axioms of vector spaces and the vector spaceization by using an equivalence relation | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | ベクトル空間 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | ベクトル空間の公理 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 同値関係 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | グロタンディーク群 | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | vector space | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | axiom of vector space | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | equivalence relation | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Grothendieck group | |||||
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 | departmental bulletin paper | |||||
著者 |
小林, 俊公
× 小林, 俊公× 島田, 伸一× KOBAYASHI, Toshimasa× SHIMADA, Shinichi |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | All mathematicians accept the axioms of vector space. Of course, there are people out there who do not. Some people try to derive the existence of zero element from other axioms. However, we can prove that the existence axiom of zero element is independent of other axioms as all mathematicians would think so. Furthermore, we introduce an equivalence relation to make vector spaces from sets in partial absence of the vector space axioms. We shall show that this equivalence relation has a strange property, and we found that there is a connection between the way of our making vector spaces and the construction of the Grothendieck group. | |||||
記事種別 | ||||||
研究論文 | ||||||
書誌情報 |
摂南大学 融合科学研究所論文集 en : Bulletin of the Transdisciplinary and Interdisciplinary Science Research Institute. Setsunan University 巻 8, 号 1, p. 62-74, 発行日 2023-02 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2432-5031 |