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:Baer semirings and Baer *-semirings of cone-preserving maps
學年85
學期2
出版(發表)日期1997/04/01
作品名稱Baer semirings and Baer *-semirings of cone-preserving maps
作品名稱(其他語言)
著者Barker, George Phillip; 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 256, pp.165-183
摘要The study of π(K), the semiring of matrices which leave invariant the proper cone K, is continued in this paper. The definitions of Baer rings and Baer ∗-rings are extended to semirings, at least in the case of π(K). Results that relate the concepts of right (left) annihilators, right (left) facial ideals, and p-exposed or o.p.-exposed faces are given. Proper cones K for which π(K) is a right (left) Baer semiring or a Baer ∗-semiring are characterized. In particular, it is shown that π(K) is a Baer ∗-semiring if and only if K is a perfect cone. The set of projections in π(K) is investigated, and its lattice structure is analyzed. The concepts of equivalence of idempotents and ∗-equivalence of projections in π(K) are introduced and examined.
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
相關連結
Google+ 推薦功能,讓全世界都能看到您的推薦!