The universal cover of a monomial triangular algebra without multiple arrows

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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

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Representation Theory, 16G10

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http://salesiana.dossiersoluciones.com/handle/123456789/170139

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701282
 http://arxiv.org/abs/math/0701282
 Journal of Algebra and Its Applications 7, 4 (2008) 443--469
 doi:10.1142/S0219498808002850

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arXiv