Relative FP-injective and FP-flat complexes and their model structures
T Zhao, MA Pérez - Communications in Algebra, 2019 - Taylor & Francis
The present article studies homological and homotopical aspects of FP n-injective and FP n-
flat complexes, and describes homological dimensions associated to them. After …
flat complexes, and describes homological dimensions associated to them. After …
Stability of Gorenstein flat categories
G Yang, Z Liu - Glasgow Mathematical Journal, 2012 - cambridge.org
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 …
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …
FP-injective complexes and FP-injective dimension of complexes
Z Wang, Z Liu - Journal of the Australian Mathematical Society, 2011 - cambridge.org
In this paper we extend the notion of FP-injective modules to that of complexes and
characterize such complexes. We show that some characterizations similar to those for …
characterize such complexes. We show that some characterizations similar to those for …
Gorenstein AC-projective complexes
J Gillespie - Journal of Homotopy and Related Structures, 2018 - Springer
Let R be any ring with identity and Ch (R) C h (R) the category of chain complexes of (left) R-
modules. We show that the Gorenstein AC-projective chain complexes of 1 are the cofibrant …
modules. We show that the Gorenstein AC-projective chain complexes of 1 are the cofibrant …
On stability of Gorenstein categories
A Xu, N Ding - Communications in Algebra, 2013 - Taylor & Francis
We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …
K‐flat complexes and derived categories
J Gillespie - Bulletin of the London Mathematical Society, 2023 - Wiley Online Library
Let RR be a ring with identity. Inspired by recent work in Emmanouil, Preprint, 2021, we
show that the derived category of RR is equivalent to the chain homotopy category of all K …
show that the derived category of RR is equivalent to the chain homotopy category of all K …
FP-injective complexes
X Yang, Z Liu - Communications in Algebra, 2009 - Taylor & Francis
In this article, FP-injective complexes are introduced and studied. We prove that (⊥ ℱℐ, ℱℐ)
is a hereditary cotorsion theory if and only if R is a left coherent ring, where ℱℐ denotes the …
is a hereditary cotorsion theory if and only if R is a left coherent ring, where ℱℐ denotes the …
Notes on stability of Gorenstein categories
A Xu - Journal of Algebra and Its Applications, 2013 - World Scientific
Let be a class of left R-modules that contains all projective left R-modules. We study a kind
of stability of-Gorenstein projective modules and settle in affirmative the following question …
of stability of-Gorenstein projective modules and settle in affirmative the following question …
On Ding projective complexes
G Yang, XS Da - Acta Mathematica Sinica, English Series, 2018 - Springer
Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series
Nov., 2018, Vol. 34, No. 11, pp. 1718–1730 Published online: June 6, 2018 https://doi.org/10.1007/s10114-018-7461-7 …
Nov., 2018, Vol. 34, No. 11, pp. 1718–1730 Published online: June 6, 2018 https://doi.org/10.1007/s10114-018-7461-7 …
Homology theories and Gorenstein dimensions for complexes
L Liang - Algebras and Representation Theory, 2021 - Springer
In this paper, we first study the Gorenstein projective/flat dimension of complexes of
modules. The relation between the Gorenstein projective/flat dimension for complexes and …
modules. The relation between the Gorenstein projective/flat dimension for complexes and …