Turkish Journal of Mathematics
DOI
10.3906/mat-1012-549
Abstract
In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-injective) modules which are special Gorenstein projective (resp. Gorenstein injective) modules, and use them to prove that the global strongly Gorenstein flat dimension and the global Gorenstein FP-injective dimension of a ring R are identical when R is n-FC or commutative coherent. Finally, we show that if R is a commutative Noetherian ring, then, for any R-module M, SGfd_RM=Gpd_RM, and hence SGfd_RM< \infty if and only if Gfd_RM
Keywords
Strongly Gorenstein flat modules, global strongly Gorenstein flat dimension, Gorenstein FP-injective modules, global Gorenstein FP-injective dimension
First Page
218
Last Page
230
Recommended Citation
YANG, CHUNHUA
(2013)
"Strongly Gorenstein flat and Gorenstein FP-injective modules,"
Turkish Journal of Mathematics: Vol. 37:
No.
2, Article 4.
https://doi.org/10.3906/mat-1012-549
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss2/4
