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Jordan Isomorphisms and Jordan Derivations of Prime Rings with characteristic 2Tsai, Chia-Fang 24 June 2004 (has links)
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)).
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