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math.RA2018
Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1
We describe how the Hochschild (co)homology of a bound quiver algebra changes when adding or deleting arrows to the quiver. The main tools are relative Hochschild (co)homology, the…
math.RT2018
Pullback diagrams, syzygy finite classes and Igusa-Todorov algebras
Diego Bravo, Marcelo Lanzilotta, Octavio Mendoza
For an abelian category , we define the category PEx() of pullback diagrams of short exact sequences in , as a subcategory of the functor cat…
math.RT2018
Gerstenhaber structure on Hochschild cohomology of toupie algebras
Dalia Artenstein, Marcelo Lanzilotta, Andrea Solotar
We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the…