Archive for may, 2009

A Note on the Jordan Decomposition.

tuesday, may 5th, 2009

We show some kind of universal property for the Jordan decomposition of an endomorphism of a finite dimensional vector space.

A Topological Proof of the Cayley-Hamilton Theorem over all Commutative Unitary Rings.

monday, may 4th, 2009

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.

Fundamental Theorem of Algebra.

monday, may 4th, 2009

We want to give a proof of the Fundamental Theorem of Algebra using methods from Complex Analysis, in particular Liouville’s Theorem.

Welcome!

monday, may 4th, 2009

Welcome to my math blog. This blog will focus on my research and on topics which happen to come to my mind. Most topics will probably concern Number Theory, in particular Computational Number Theory, but since I’m interested in a wide amount of subjects there will be other posts, too.