Article
Keywords:
$n$-flat module; $n$-FP-injective module; $n$-coherent ring; cotorsion theory
Summary:
In this paper, we study the existence of the $n$-flat preenvelope and the $n$-FP-injective cover. We also characterize $n$-coherent rings in terms of the $n$-FP-injective and $n$-flat modules.
References:
[1] Aldrich, S. T., Enochs, E. E., Rozas, J. R. García, Oyonarte, L.:
Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications. J. Algebra 243 (2001), 615-630.
DOI 10.1006/jabr.2001.8821 |
MR 1850650
[5] Enochs, E. E., Jenda, O. M. G.:
Relative Homological Algebra. de Gruyter Expositions in Mathematics, 30 Walter de Gruyter Berlin (2000).
MR 1753146 |
Zbl 0952.13001