| Galois coverings of weakly shod algebras (2008) | |||||||||||||
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. | |||||||||||||
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