Rendiconti del Seminario Matematico della Università di Padova
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On the existence of Gorenstein projective precoversJavad Asadollahi, Tahereh Dehghanpour and Rasool Hafezi (1) Department of Mathematics, University of Isfahan, P.O.Box: 81746-73441, Isfahan, Iran
(2) Department of Mathematics, University of Isfahan, P.O. Box 81746-73441, Isfahan, Iran
(3) School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran
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.
Keywords: Precovering class, Gorenstein projective, Gorenstein flat
Asadollahi Javad, Dehghanpour Tahereh, Hafezi Rasool: On the existence of Gorenstein projective precovers. Rend. Sem. Mat. Univ. Padova 136 (2016), 257-264. doi: 10.4171/RSMUP/136-16