Endomorphism Rings of Regular Modules over Wild Hereditary Algebras

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.

Key Words:

• Degree of nilpotency
• Endomorphism ring
• Regular module
• Wild hereditary algebras

Mathematics Subject Classification:

• Primary 16S50, 16G20, 16G70
• Secondary 16N40

Notes

Communicated by D. Happel.