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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 |
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系所名稱 Department |
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畢業學年期 Year, semester |
語文別 Language |
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學位類別 Degree |
頁數 Number of pages |
11 |
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研究生 Author |
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指導教授 Advisor |
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召集委員 Convenor |
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口試委員 Advisory Committee |
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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 |
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統計 Statistics |
本論文已被瀏覽 5732 次,被下載 2329 次 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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