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Posts for May 2009.

We show some kind of universal property for the Jordan decomposition of an endomorphism of a finite dimensional vector space.
We want to give a proof of the Cayley-Hamilton Theorem for all commutative rings with unity, which first reduces to the case of the field of complex numbers and then applies a topological argument.
We want to give a proof of the Fundamental Theorem of Algebra using methods from Complex Analysis, in particular Liouville's Theorem.
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