The singularity category of a quadratic monomial algebra

Abstract

We exploit singular equivalences between artin algebras, that are induced from certain functors between the stable module categories. Such functors are called pre-triangle equivalences. We construct two pre-triangle equivalences connecting the stable module category over a quadratic monomial algebra and the one over an algebra with radical square zero. Consequently, we obtain an explicit singular equivalence between the two algebras.

References in corpus (3)

• Singularity categories of gentle algebras
• The Gorenstein defect category
• The Gorenstein-projective modules over a monomial algebra

Cited by in corpus (2)

• Gorenstein defect categories of triangular matrix algebras
• Gorenstein properties of simple gluing algebras