On the existence of Gorenstein projective precovers
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
@article{RSMUP_2016__136__257_0,
     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://www.numdam.org/articles/10.4171/RSMUP/136-16/}
}
TY  - JOUR
AU  - Asadollahi, Javad
AU  - Dehghanpour, Tahereh
AU  - Hafezi, Rasool
TI  - On the existence of Gorenstein projective precovers
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2016
SP  - 257
EP  - 264
VL  - 136
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://www.numdam.org/articles/10.4171/RSMUP/136-16/
DO  - 10.4171/RSMUP/136-16
ID  - RSMUP_2016__136__257_0
ER  - 
%0 Journal Article
%A Asadollahi, Javad
%A Dehghanpour, Tahereh
%A Hafezi, Rasool
%T On the existence of Gorenstein projective precovers
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2016
%P 257-264
%V 136
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://www.numdam.org/articles/10.4171/RSMUP/136-16/
%R 10.4171/RSMUP/136-16
%F RSMUP_2016__136__257_0
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://www.numdam.org/articles/10.4171/RSMUP/136-16/

Cité par Sources :