National Changhua University of Education Institutional Repository : Item 987654321/15017
English  |  正體中文  |  简体中文  |  全文筆數/總筆數 : 6507/11669
造訪人次 : 30159567      線上人數 : 748
RC Version 3.2 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜尋範圍 進階搜尋

請使用永久網址來引用或連結此文件: http://ir.ncue.edu.tw/ir/handle/987654321/15017

題名: Higher Derivations of Ore Extensions
作者: Chuang, Chen-Lian;Lee, Tsiu-Kwen;Liu, Cheng-Kai;Tsai, Yuan-Tsung
貢獻者: 數學系
關鍵詞: Derivation;Prime ring;Higher derivation;Bimodule map;Ore extension;Skew polynomial ring
日期: 2010-01
上傳時間: 2013-01-07T01:44:06Z
出版者: SpringerLink
摘要: Let R be a prime ring and δ a derivation of R. Divided powers $$ D_n ^\underline\underline def. \tfrac1 n!\tfracd^n dx^n $$ of ordinary differentiation d/dx form Hasse-Schmidt higher derivations of the Ore extension (skew polynomial ring) R[x; δ]. They have been used crucially but implicitly in the investigation of R[x; δ]. Our aim is to explore this notion. The following is proved among others: Let Q be the left Martindale quotient ring of R. It is shown that $$ S^\underline\underline def. Q[x;δ ] $$ is a quasi-injective (R, R)-module and that any (R,R)-bimodule endomorphism of S can be uniquely expressed in the form $$ θ (f) = ∑\limits_n = 0^∞ ζ _n D_n (f) forf ∈ Q[x;δ ], $$ where ζ n ∈ C S (R), the centralizer of R in S. As an application, we also use the Ore extension R[x; δ] to deduce Kharchenko’s theorem for a single derivation. These results are extended to the Ore extension R[X;D] of R by a sequence D of derivations of R.
關聯: Israel Journal of Mathematics, 175(1): 157-178
顯示於類別:[數學系] 期刊論文

文件中的檔案:

檔案 大小格式瀏覽次數
index.html0KbHTML631檢視/開啟


在NCUEIR中所有的資料項目都受到原著作權保護.

 

DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回饋