info:eu-repo/semantics/article
Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology
Fecha
2020-02Registro en:
Cibils, Claude; Lanzilotta, Marcelo; Marcos, Eduardo N.; Solotar, Andrea Leonor; Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology; American Mathematical Society; Proceedings of the American Mathematical Society; 148; 6; 2-2020; 2421-2432
0002-9939
CONICET Digital
CONICET
Autor
Cibils, Claude
Lanzilotta, Marcelo
Marcos, Eduardo N.
Solotar, Andrea Leonor
Resumen
We describe how the Hochschild (co)homology of a bound quiver algebra changes when deleting or adding arrows to the quiver. The main tools are relative Hochschild (co)homology, the Jacobi-Zariski long exact sequence obtained by A. Kaygun, and a length one relative projective resolution of tensor algebras.