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  1. 紀要掲載論文
  2. 北見工業大学研究報告
  3. Vol.2

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/6229
e4371ace-4bf4-4e9c-b6bb-82d6d5ccef8b
名前 / ファイル ライセンス アクション
2-3-11.pdf 2-3-11.pdf (1.3 MB)
Item type 紀要論文 / Departmental Bulletin Paper(1)
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

WEKO 31836

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
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
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