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博碩士論文 etd-0629104-030359 詳細資訊
Title page for etd-0629104-030359
論文名稱
Title
Jordan isomorphism 在特徵數為二的上三角矩陣
Jordan isomorphisms of triangular matrix algebras with characteristic 2
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
11
研究生
Author
指導教授
Advisor
召集委員
Convenor
口試委員
Advisory Committee
口試日期
Date of Exam
2004-05-28
繳交日期
Date of Submission
2004-06-29
關鍵字
Keywords
上三角矩陣
Jordan isomorphism, triangular matrix
統計
Statistics
本論文已被瀏覽 5732 次,被下載 2329
The thesis/dissertation has been browsed 5732 times, has been downloaded 2329 times.
中文摘要
Jordan isomorphism 在特徵數為二的二階上三角矩陣一定是同構或是反同構。
Abstract
Every Jordan isomorphism of triangular n×n matrices over F with characteristic 2 is either a isomorphism or a antiisomorphism while n is 2. But it is not true for n ≧ 3.
目次 Table of Contents
1.Introduction ----------- 4
2.Preliminaries----------- 4
3.Main results ----------- 9
參考文獻 References
1.
I.N. Herstein, Jordan homomorphisms, Trans.Amer.Math.Soc.81 (1956), 331-351.

2.
W.E. Baxter and W.S. Martindale, Jordan homomorphisms of
semiprime rings, J. Algebra 56 (1979), 457-471.

3.
M. Bresar, Jordan mappings of semiprime rings, J.
Algebra 127 (1989), 218-228.

4.
M. Bresar, Jordan mappings of semiprime rings II, Bull. Austral. Math. Soc. 44 (1991), 233-238.

5.
L. Molnar, P. Semrl, Some linear preserver problems
on upper triangular matrices, Linear and Multilinear
Algebra 45 (1998), 189-206.

6.
K.I. Beidar, M. Bresar and M.A. Chebotar, Jordan
isomorphisms of triangular matrix algebras over a connected
commutative ring, Linear Algebra and its Application 312 (2000), 197-201.

7.
L.W. Marcoux and A.R. Sourour, Commutativity preserving
linear maps and Lie automorphisms of triangular matrix algebras, Linear Algebra and its Application 288 (1999), 89-104.

8.
T.L. Wong, Jordan isomorphisms of triangular rings, preprint.

9.
F. Lu, Jordan isomorphisms of nest algebras, Proc.
London Math. Soc. 15 (2002), 147-154.
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