Endomorphism Rings of Regular Modules over Wild Hereditary Algebras |
| |
Authors: | Claudio Schmidt-Wegenast |
| |
Institution: | 1. Mathematisches Institut, Heinrich-Heine-Universit?t Düsseldorf , Düsseldorf, Germany schmidwg@ uniduesseldorf.de |
| |
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. |
| |
Keywords: | Degree of nilpotency Endomorphism ring Regular module Wild hereditary algebras |
|
|