In this thesis, we describe the Jordan isomorphisms and Jordan derivations on prime rings of characteristic 2. We prove that every Jordan isomorphism of M_{n}(F),n >= 3 is either an isomorphism or an antiisomorphism if n is odd, and it is not true if n is even.
We also describe the Jordan isomorphisms and Jordan derivations on M_{2}(GF(2)).
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0624104-213250 |
| Date | 24 June 2004 |
| Creators | Tsai, Chia-Fang |
| Contributors | Tsai-Lien Wong, Jhishen Tsay, Li-Da Tong, Xuding Zhu |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624104-213250 |
| Rights | unrestricted, Copyright information available at source archive |
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