Abstract

Let A be a finite dimensional algebra over an algebraically closed field. In [4] Riedtmann has proved that for any exact sequence \(0\to N\to M\oplus Z\to Z\to 0\) of finite dimensional A-modules, M degenerates to N. We prove that the relation \(M\leq\! _RN\) defined by the existence of the above sequence is a partial order on the set of isomorphism classes of finite dimensional A-modules.

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