教師資料查詢 | 類別: 期刊論文 | 教師: 譚必信 Tam Bit-shun (瀏覽個人網頁)

標題:Complementation in the face lattice of a proper cone
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
語言英文
ISSN0024-3795
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
國別美國
公開徵稿
出版型式紙本
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