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The universal cover of a monomial triangular algebra without multiple arrows (2007)

Abstract
Let A be a basic connected finite dimensional algebra over an algebraically closed field k. Assuming that A is monomial and that the ordinary quiver Q of A has no oriented cycle and no multiple arrows, we prove that A admits a universal cover with group the fundamental group of the underlying space of Q.

Publication details
Download http://hal.archives-ouvertes.fr/hal-00123559/en/
Publisher HAL - CCSD
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords Mathematics/Representation Theory, groupe fondamental, revêtement galoisien, revêtement universel, algèbre de dimension finie, algèbre monomiale
Language English
Relation http://hal.archives-ouvertes.fr/docs/00/12/35/59/PDF/monomial.pdf

Cited publications (2)
The fundamental group of a triangular algebra without double bypasses (2005)
The universal cover of an algebra without double bypasses (2005)