Endomorphism Rings of Regular Modules over Wild Hereditary Algebras |
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| Authors: | Claudio Schmidt-Wegenast |
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| Institution: | 1. Mathematisches Institut, Heinrich-Heine-Universit?t Düsseldorf , Düsseldorf, Germany schmidwg@ uniduesseldorf.de |
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| Abstract: | Let X be an indecomposable regular module over a connected wild hereditary path-algebra. The main result is a factorization property for maps in the radical of End H (X) and an upper bound for its degree of nilpotency. The bound is sharp if X has elementary quasi-top. In this, case the socle of End H (X) can also be characterized. |
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| Keywords: | Degree of nilpotency Endomorphism ring Regular module Wild hereditary algebras |
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