Homological invariants of the arrow removal operation

2021/08/10 by Erdmann, Karin, Psaroudakis, Chrysostomos, Solberg, Øyvind · 2 citations
#16E10 #16E30 #16E65 #16G #18E #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2108.04891

Abstract

In this paper we show that Gorensteinness, singularity categories and the finite generation condition Fg for the Hochschild cohomology are invariants under the arrow removal operation for a finite dimensional algebra.

Cited by

• Gorenstein projective objects over cleft extensions
• Monomial arrow removal and the finitistic dimension conjecture

Related

• Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology
• The Hochschild cohomology groups under gluing arrows
• Finite generation for Hochschild cohomology of Gorenstein monomial algebras
• Homotopy Invariants for gradable finite dimensional algebras
• Gorensteinness, homological invariants and Gorenstein derived categories