A non-commutative topology on rep A

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

We extend the Zariski topology on simp A, the finite dimensional simple
A-representations, to a non-commutative topology (in the sense of Fred Van
Oystaeyen) on rep A, all finite dimensional A-representations, using
Jordan-Holder filtrations. The non-commutativity of the topology is enforced by
the order of the composition factors.

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