Gorenstein flat phantom morphisms
J Asadollahi, S Hemat, R Vahed - Communications in Algebra, 2020 - Taylor & Francis
… theory on an additive exact category ( A , E ) . This … acyclic complex F of flat R-modules
is called totally acyclic if, … G F -phantom precover with cotorsion-flat kernel for each R -module. …
is called totally acyclic if, … G F -phantom precover with cotorsion-flat kernel for each R -module. …
Resolutions as directed colimits
L Positselski - Rendiconti del Seminario Matematico della Università …, 2024 - ems.press
… a dualizing complex, any F-totally acyclic complex of flat right R-… of F-totally acyclic complexes
of countably presentable flat … claims that, in any acyclic complex of cotorsion modules, the …
of countably presentable flat … claims that, in any acyclic complex of cotorsion modules, the …
Stable functors and cohomology theory in abelian categories
S Guo, L Liang - arXiv preprint arXiv:2006.13562, 2020 - arxiv.org
… complete cohomology theory with respect to the cotorsion pair (W, V) … flat dimension, cotorsion
dimension, Gorenstein injective/flat dimension and projectively coresolved Gorenstein flat …
dimension, Gorenstein injective/flat dimension and projectively coresolved Gorenstein flat …
Philosophy of contraherent cosheaves
L Positselski - arXiv preprint arXiv:2311.14179, 2023 - arxiv.org
… The theory of very flat modules [61, 85], as well as our work … main concrete examples: the flat
cotorsion pair in the category … (A) containing all the absolutely acyclic complexes and closed …
cotorsion pair in the category … (A) containing all the absolutely acyclic complexes and closed …
One-sided Gorenstein rings
LW Christensen, S Estrada, L Liang… - Forum …, 2024 - degruyter.com
… general theory of the Gorenstein flat-cotorsion dimension. … if every acyclic complex of injective
A-modules is 𝖵 -acyclic. Dually… if every acyclic complex of modules from 𝖴 is 𝖴 -acyclic and …
A-modules is 𝖵 -acyclic. Dually… if every acyclic complex of modules from 𝖴 is 𝖴 -acyclic and …
Homotopy equivalences and Grothendieck duality over rings with finite Gorenstein weak global dimension
J Wang, S Estrada - arXiv preprint arXiv:2402.03010, 2024 - arxiv.org
… say that a complex RF‚ of flat left R-modules is F-totally acyclic if RF‚ … RX‚ in ChpR-Modq is
a dg-flat resolution of RX‚ with cotorsion … flat-cotorsion if there is a totally acyclic complex of flat-…
a dg-flat resolution of RX‚ with cotorsion … flat-cotorsion if there is a totally acyclic complex of flat-…
[图书][B] Categorical, Homological and Combinatorial Methods in Algebra
AK Srivastava, A Leroy, I Herzog, PAG Asensio - 2020 - ams.org
… categories of totally acyclic complexes with applications to the flat–cotorsion theory … 119
Model structures and relative Gorenstein flat modules and chain complexes Sergio Estrada, …
Model structures and relative Gorenstein flat modules and chain complexes Sergio Estrada, …
Homology theories and Gorenstein dimensions for complexes
L Liang - Algebras and Representation Theory, 2021 - Springer
… ◦ -modules and the class FC of flat and cotorsion R ◦ -modules are closed under extensions
and direct summands, and FC is a cogenerator for GF in the sense of Auslander and …
and direct summands, and FC is a cogenerator for GF in the sense of Auslander and …
Approximation Theory and Elementary Submodels
S Cox - arXiv preprint arXiv:2405.19634, 2024 - arxiv.org
… cotorsion pairs) that wasn’t as obviously connected to the Small Object Argument, but was
crucial to the solution of the Flat … ; subcomplexes of acyclic complexes are not always acyclic!). …
crucial to the solution of the Flat … ; subcomplexes of acyclic complexes are not always acyclic!). …
A note on dg-Gorenstein injective covers
A Iacob - Acta Mathematica Universitatis Comenianae, 2022 - iam.fmph.uniba.sk
… a satisfactory theory of homological dimensions of complexes … injective, and flat dimensions
for arbitrary complexes. Enochs, … and hereditary cotorsion pairs in the category of complexes …
for arbitrary complexes. Enochs, … and hereditary cotorsion pairs in the category of complexes …