On the existence of Gorenstein projective precovers
Asadollahi, Javad1 ; Dehghanpour, Tahereh2 ; Hafezi, Rasool1
1 Institute for Research in Fundamental Sciences (IPM), TEHRAN, IRAN
2 University of Isfahan, ISFAHAN, IRAN
Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 257-264.

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.

DOI : 10.4171/RSMUP/136-16
Classification : 11, 14, 19
Mots clés : Precovering class, Gorenstein projective, Gorenstein flat
Asadollahi, Javad 1 ; Dehghanpour, Tahereh 2 ; Hafezi, Rasool 1

1 Institute for Research in Fundamental Sciences (IPM), TEHRAN, IRAN
2 University of Isfahan, ISFAHAN, IRAN 
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     author = {Asadollahi, Javad and Dehghanpour, Tahereh and Hafezi, Rasool},
     title = {On the existence of {Gorenstein} projective precovers},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {257--264},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {136},
     year = {2016},
     doi = {10.4171/RSMUP/136-16},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/136-16/}
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Asadollahi, Javad; Dehghanpour, Tahereh; Hafezi, Rasool. On the existence of Gorenstein projective precovers. Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 257-264. doi : 10.4171/RSMUP/136-16. http://archive.numdam.org/articles/10.4171/RSMUP/136-16/

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