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Abstract Let be a triangular matrix ring with R and S rings and an R–S-bimodule. We describe Gorenstein projective modules over T. In particular, we refine a result of Enochs,… Click to show full abstract
Abstract Let be a triangular matrix ring with R and S rings and an R–S-bimodule. We describe Gorenstein projective modules over T. In particular, we refine a result of Enochs, Cortés-Izurdiaga, and Torrecillas [Gorenstein conditions over triangular matrix rings, J. Pure Appl. Algebra 218 (2014), no. 8, 1544-1554]. Also, we consider when the recollement of restricts to a recollement of its subcategory consisting of complexes with finite Gorenstein projective dimension. As applications, we obtain recollements of the stable category and recollements of the Gorenstein defect category
Journal Title: Communications in Algebra
Year Published: 2019
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