The universal cover of a monomial triangular algebra without multiple arrows

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.

Revised version: the introduction was entirely modified. To appear in Journal of Algebra and its Applications