Singular equivalence and the (Fg) condition
{\O}ystein Skarts{\ae}terhagen
TL;DR
This paper proves that singular equivalences of Morita type with level between finite-dimensional Gorenstein algebras preserve the (Fg) condition, highlighting a stability property in algebraic structures.
Contribution
It establishes that the (Fg) condition is invariant under singular equivalences of Morita type with level for finite-dimensional Gorenstein algebras.
Findings
The (Fg) condition is preserved under singular equivalences of Morita type with level.
Finite-dimensional Gorenstein algebras maintain the (Fg) condition through such equivalences.
The result contributes to understanding invariants in algebraic equivalences.
Abstract
We show that singular equivalences of Morita type with level between finite-dimensional Gorenstein algebras over a field preserve the (Fg) condition.
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