Gorenstein FP-Injective Dimension for Complexes
J Hu, Y Geng, Z Xie, D Zhang - Communications in Algebra, 2015 - Taylor & Francis
This article is a continuous work of, where the coauthors introduced the notion of 𝒢-FP-
injective R-modules. In this article, we define a notion of 𝒢-FP-injective dimension for …
injective R-modules. In this article, we define a notion of 𝒢-FP-injective dimension for …
Triangle equivalences involving Gorenstein FP-injective modules
Z Di, X Zhang, Z Liu - Communications in Algebra, 2018 - Taylor & Francis
Recently, Hu et al. introduced the notion of Gorenstein FP-injective modules and
investigated a notion of Gorenstein FP-injective dimension for complexes. Let R be a left …
investigated a notion of Gorenstein FP-injective dimension for complexes. Let R be a left …
FP-injective dimensions and Gorenstein homology
G Yang, J Wang - Proceedings of the Edinburgh Mathematical …, 2022 - cambridge.org
Let $ R $ be a left coherent ring. It is proven that if an $ R $-module $ M $ has a finite FP-
injective dimension, then the Gorenstein projective (resp. Gorenstein flat) dimension and the …
injective dimension, then the Gorenstein projective (resp. Gorenstein flat) dimension and the …
Homological invariants of unbounded complexes under Frobenius extensions
D Wu, Y Wang - Communications in Algebra, 2023 - Taylor & Francis
Abstract Let R⊂ S be a Frobenius extension of rings and M an S-complex. It is proven that if
the Gorenstein projective (injective) dimension of M as an S-complex is finite, then the …
the Gorenstein projective (injective) dimension of M as an S-complex is finite, then the …
On Gorenstein FP-Injective and Gorenstein Flat Complexes
D Xin, J Chen, X Zhang - Communications in Algebra, 2013 - Taylor & Francis
In this article, the concept of Gorenstein FP-injective modules and some related known
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …
Homological dimensions of complexes related to cotorsion pairs
C Wei, L Wang, H Qiao - Turkish Journal of Mathematics, 2014 - journals.tubitak.gov.tr
Let (A, B) be a cotorsion pair in R-Mod. We define and study notions of A dimension and B
dimension of unbounded complexes, which is given by means of dg-projective resolution …
dimension of unbounded complexes, which is given by means of dg-projective resolution …
Strongly Gorenstein flat and Gorenstein FP-injective modules
C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
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) …
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
On Gorenstein flat dimension
S Bouchiba - Journal of Algebra and its Applications, 2015 - World Scientific
The theory of Gorenstein flat dimension is not complete since it is not yet known whether the
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …
[HTML][HTML] Relative cohomology of complexes
Z Liu - Journal of Algebra, 2018 - Elsevier
Let R be an arbitrary ring and C a complex with finite Gorenstein projective dimension (that
is, the supremum of Gorenstein projective dimension of all R-modules in C is finite). For …
is, the supremum of Gorenstein projective dimension of all R-modules in C is finite). For …
Coherent rings with finite self-FP-injective dimension
N Ding, J Chen - Communications in algebra, 1996 - Taylor & Francis
Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …