We provide a simple proof for a recent result of Bravo, Gillespie and Hovey, showing that over a left coherent ring for which the projective dimension of at right modules is finite, the class of Gorenstein projective right modules is precovering. As an immediate application, we provide a description for the Gorenstein defect category over such rings.
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Javad Asadollahi, Tahereh Dehghanpour, Rasool Hafezi, On the existence of Gorenstein projective precovers. Rend. Sem. Mat. Univ. Padova 136 (2016), pp. 257–264DOI 10.4171/RSMUP/136-16