Galois coverings of weakly shod algebras

Abstract

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 its connecting component. As a consequence, we show that a weakly shod algebra is simply connected if and only if its first Hochschild cohomology group vanishes.

Some references were added. The proof of Lemma 6.5 was modified

References in corpus (4)

• The universal cover of an algebra without double bypass
• Topological invariants of piecewise hereditary algebras
• Coverings of Laura Algebras: the Standard Case
• On Galois coverings and tilting modules

Cited by in corpus (1)

• Coverings of Laura Algebras: the Standard Case