期刊論文
| 學年 | 74 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 1986-07-01 |
| 作品名稱 | Complementation in the face lattice of a proper cone |
| 作品名稱（其他語言） | |
| 著者 | Loewy, Raphael; Tam, Bit-Shun; |
| 單位 | 淡江大學數學學系 |
| 出版者 | Philadelphia: Elsevier Inc. |
| 著錄名稱、卷期、頁數 | Linear Algebra and Its Applications 79(C), pp.195-207 |
| 摘要 | Barker proved that the lattice of faces, (K), of a finite dimensional proper cone K is always complemented. The proof, however, contained a gap. In this paper we offer a correct proof of the result. At the same time new characterizations of lattices of finite length which are section complemented or relatively complemented are found. It is also proved that the lattice of exposed faces of a proper cone K is complemented. Finally, we show that the class of proper cones with a relatively complemented face lattice is strictly contained in the class of proper cones with a dual atomistic face lattice. For a few natural related questions counterexamples are given. It turns out that one of our examples also answers in the negative an open problem posed recently by the second author. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0024-3795 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Tam, Bit-Shun |
| 審稿制度 | |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41407 ) |