Geodesic
STABILITY OF GORENSTEIN FLAT CATEGORIES
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 177-191

Voir la notice de l'article provenant de la source Cambridge University Press

A left R-module M is called two-degree Gorenstein flat if there exists an exact sequence of Gorenstein flat left R-modules ⋅⋅⋅ → G2 → G1 → G0 → G−1 → G−2 → ⋅⋅⋅ such that M ≅ Ker(G0 → G−1) and it remains exact after applying H ⊗R- for any Gorenstein injective right R-module H. In this paper we first give some characterisations of Gorenstein flat objects in the category of complexes of modules and then use them to show that two notions of the two-degree Gorenstein flat and the Gorenstein flat left R-modules coincide when R is right coherent.
DOI : 10.1017/S0017089511000528
Mots-clés : 16E10, 16E30, 55U15 
YANG, GANG; LIU, ZHONGKUI. STABILITY OF GORENSTEIN FLAT CATEGORIES. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 177-191. doi: 10.1017/S0017089511000528
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