Strongly Gorenstein flat dimensions of complexes
Z Wang, Z Liu - Communications in Algebra, 2016 - Taylor & Francis
… below complexes of left R-modules, and show that strongly Gorenstein flat dimension has
a … In addition, we will investigate the strongly Gorenstein flat properties of complexes under …
a … In addition, we will investigate the strongly Gorenstein flat properties of complexes under …
[HTML][HTML] Gorenstein homological dimensions
H Holm - Journal of pure and applied algebra, 2004 - Elsevier
In basic homological algebra, the projective, injective and flat dimensions of modules play
an … related Gorenstein projective, Gorenstein injective and Gorenstein flat dimensions are …
an … related Gorenstein projective, Gorenstein injective and Gorenstein flat dimensions are …
[引用][C] Gorenstein -flat dimension of complexes and relative singularity categories
W Chen - Journal of Algebra and Its Applications, 2023 - World Scientific
… Gorenstein (L, A)-flat modules is closed under extensions. We define a notion of Gorenstein
(L, A)-flat dimension for complexes … of Gorenstein (L, A)-flat dimension of complexes. Fur…
(L, A)-flat dimension for complexes … of Gorenstein (L, A)-flat dimension of complexes. Fur…
Gorenstein projective and flat complexes over noetherian rings
E Enochs, S Estrada, A Iacob - Mathematische Nachrichten, 2012 - Wiley Online Library
… the class of Gorenstein flat modules. We show that when the ring R is two sided noetherian,
a complex C is Gorenstein flat if and only if each module C n is Gorenstein flat. If moreover …
a complex C is Gorenstein flat if and only if each module C n is Gorenstein flat. If moreover …
Model structures and relative Gorenstein flat modules and chain complexes
S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
… of the relative Gorenstein flat model structure on the category of complexes. We point out in
… model structures on chain complexes associated to relative Gorenstein flat modules. Quillen …
… model structures on chain complexes associated to relative Gorenstein flat modules. Quillen …
Homological dimension based on a class of Gorenstein flat modules
G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… A Gorenstein flat module is a syzygy of an acyclic complex of … To that end, we note that any
Gorenstein flat module of finite projective dimension is necessarily flat. Indeed, such a module …
Gorenstein flat module of finite projective dimension is necessarily flat. Indeed, such a module …
On Gorenstein projective, injective and flat dimensions-a functorial description with applications
LW Christensen, A Frankild, H Holm - arXiv preprint math/0403156, 2004 - arxiv.org
… An R–module A is Gorenstein flat if there exists an exact complex F of flat modules, such that
A is isomorphic to a cokernel of F, and H(J ⊗R F) = 0 for all injective Ropp–modules J. Such …
A is isomorphic to a cokernel of F, and H(J ⊗R F) = 0 for all injective Ropp–modules J. Such …
Gorenstein projective dimensions of complexes
ZK Liu, CX Zhang - Acta Mathematica Sinica, English Series, 2011 - Springer
… Abstract We show that over a right coherent left perfect ring R, a complex C of left R-modules
is Gorenstein projective if and only if Cm is Gorenstein projective in R-Mod for all m ∈ Z. …
is Gorenstein projective if and only if Cm is Gorenstein projective in R-Mod for all m ∈ Z. …
Stability of Gorenstein flat categories
G Yang, Z Liu - Glasgow Mathematical Journal, 2012 - cambridge.org
… of Gorenstein flatness of objects in the category of complexes of … Gorenstein flat complexes
of modules. We show that if R is a left GF-closed ring, then a complex X is Gorenstein flat …
of modules. We show that if R is a left GF-closed ring, then a complex X is Gorenstein flat …
On the finiteness of Gorenstein homological dimensions
I Emmanouil - Journal of Algebra, 2012 - Elsevier
… Gorenstein projective, injective and flat dimensions. We examine conditions which imply that
all Gorenstein projective modules are Gorenstein flat … Given an acyclic complex of projective …
all Gorenstein projective modules are Gorenstein flat … Given an acyclic complex of projective …
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