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

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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… Click to show full abstract

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.

Keywords: modules tensor; projective modules; gorenstein projective; description; description gorenstein

Journal Title: Communications in Algebra
Year Published: 2019

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