Degrees of irreducible morphisms and finite-representation type (2009)
Meur, Patrick Le, Chaio, Claudia, Trepode, Sonia
We study the degree of irreducible morphisms in any Auslander-Reiten component of a finite dimensional algebra over an algebraically closed field. We give a characterization for an irreducible...
Galois coverings of weakly shod algebras (2008)
We investigate the Galois coverings of weakly shod algebras. For a weakly shod algebra not quasi-tilted of canonical type, we establish a correspondence between its Galois coverings and the Galois...
Coverings of Laura Algebras: the Standard Case (2008)
Assem, Ibrahim, Bustamante, Juan Carlos, Meur, Patrick Le
In this paper, we study the covering theory of laura algebras. We prove that if a connected laura algebra is standard (that is, it is not quasi-tilted of canonical type and its connecting components...
Simple connectedness of quasitilted algebras (2007)
Let A be a basic connected finite dimensional algebra over an algebraically closed field. Assuming that A is quasitilted, we prove that A is simply connected if and only if its first Hochschild...
Topological invariants of piecewise hereditary algebras (2007)
We investigate the Galois coverings of piecewise algebras and more particularly their behaviour under derived equivalences. Under a technical assumption which is satisfied if the algebra is derived...
The universal cover of a monomial triangular algebra without multiple arrows (2007)
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...
On maximal diagonalizable Lie subalgebras of the first Hochschild cohomology (2007)
Let A be a basic connected finite dimensional algebra over an algebraically closed field k and with ordinary quiver Q without oriented cycle. To any presentation of A by quiver and admissible...
On Galois coverings and tilting modules (2006)
Let A be a basic connected finite dimensional algebra over an algebraically closed field, let G be a group, let T be a basic tilting A-module and let B the endomorphism algebra of T. Under a...
The universal cover of an algebra without double bypass (2005)
Let A be a basic finite dimensional and connected algebra over an algebraically closed field k with zero characteristic. If the ordinary quiver of A has no double bypasses, we show that A admits a...
The fundamental group of a triangular algebra without double bypasses (2005)
Let A be a basic connected finite dimensional algebra over a field k and let Q be the ordinary quiver of A. To any presentation of A with Q and admissible relations, R. Martinez-Villa and J. A. de La...