期刊論文
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 | 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/987654321/41387 ) |