A description of Gorenstein projective modules over the tensor products of algebras

Abstract

Let A be a two-sided coherent algebra over a field k and B be a finite-dimensional algebra. If B is Gorenstein, we give a description of finitely presented Gorenstein projective modules over the tensor product of A and B in terms of their underlying modules over A and B. If B has finite global dimension, we also give another description.

Locations

• arXiv (Cornell University) - View - PDF
• Communications in Algebra - View