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

Abstract

Let $A$ be a coherent algebra and $B$ be a finite-dimensional Gorenstein algebra over a field $k$. We describe finitely presented Gorenstein projective $A{\otimes }_{k}B$-modules in terms of their underlying onesided modules. Moreover, if the global dimension of $B$ is finite, we give a more precise description of finitely presented Gorenstein projective $A{\otimes }_{k}B$-modules.

10 pages

References in corpus (1)

• Monic monomial representations I Gorenstein-projective modules

Cited by in corpus (2)

• Gorenstein projective bimodules via monomorphism categories and filtration categories
• Singularity categories of representations of algebras over local rings