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線形半順序空間の商空問に関する一注意
https://kitami-it.repo.nii.ac.jp/records/6229
https://kitami-it.repo.nii.ac.jp/records/6229e4371ace-4bf4-4e9c-b6bb-82d6d5ccef8b
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2007-04-09 | |||||
タイトル | ||||||
タイトル | 線形半順序空間の商空問に関する一注意 | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
その他のタイトル | ||||||
その他のタイトル | A Note on Quotient Spaces of Semi-ordered Linear Spaces | |||||
著者 |
礒部, 煕郎
× 礒部, 煕郎 |
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著者別名 | ||||||
識別子 | 31837 | |||||
識別子Scheme | WEKO | |||||
姓名 | Kiro, ISOBE | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let S be a linear lattice. A subset N is called ideal whenever N is a linear subspace of S and [x]<__—[y], y∈N implies x∈N. L. Brown and H. Nakano obtained the following results in [2] : S/N is Archimedean if and only if N has the following property : 0<__—u, v∈S and (v-1/nu)^+ ∈N (n=1,2,…) implies v∈N. In this note we do not assume lattice order in S. Let S be a semi-ordered linear space (not assume lattice order) and N is called ideal whenever N is linear subspace of S and a<__—x<__—b, a, b∈N implies x∈N. We shall investigate a condition about N that S/N is Arvhimadean. | |||||
書誌情報 |
北見工業大学研究報告 巻 2, 号 3, p. 475-478, 発行日 1969-02 |
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フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
値 | publisher | |||||
出版者 | ||||||
出版者 | 北見工業大学 |