Homological invariants of the arrow removal operation
Karin Erdmann, Chrysostomos Psaroudakis, {\O}yvind Solberg
TL;DR
This paper demonstrates that key homological properties like Gorensteinness, singularity categories, and the Fg condition for Hochschild cohomology remain unchanged when applying the arrow removal operation to finite dimensional algebras.
Contribution
It establishes invariance of important homological invariants under the arrow removal operation for finite dimensional algebras.
Findings
Gorensteinness is preserved under arrow removal.
Singularity categories are invariant under arrow removal.
The Fg condition for Hochschild cohomology remains unchanged.
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology