Singular equivalences of trivial extensions

Abstract

We prove that a certain pair of bimodules over two artin algebras gives rise to a triangle equivalence between the singularity categories of the two corresponding trivial extension algebras. Some consequences and an example are given.

Comments are welcome!

References in corpus (2)

• The non-commutative scheme having a free algebra as a homogeneous coordinate ring
• Singular equivalences induced by homological epimorphisms