Homotopy categories of totally acyclic complexes with applications to the flat-cotorsion theory
LW Christensen, S Estrada… - … combinatorial methods in …, 2020 - books.google.com
… totally acyclic complexes of flat-cotorsion A-modules, and thus to the stable category of
cotorsion Gorenstein flat … equivalent to the stable category of cotorsion Gorenstein flat A-modules. …
cotorsion Gorenstein flat … equivalent to the stable category of cotorsion Gorenstein flat A-modules. …
[HTML][HTML] Totally acyclic complexes
S Estrada, X Fu, A Iacob - Journal of Algebra, 2017 - Elsevier
… , algebraic topology and representation theory. Not only do these areas … flat module is a cycle
of an F-totally acyclic complex of flat … Then every strongly cotorsion module has Gorenstein …
of an F-totally acyclic complex of flat … Then every strongly cotorsion module has Gorenstein …
Periodic modules and acyclic complexes
S Bazzoni, M Cortés-Izurdiaga, S Estrada - … and Representation Theory, 2020 - Springer
… every acyclic complex of cotorsion modules has cotorsion … complex of cotorsion modules
and F is an acyclic complex of … between flat Proj-periodic modules and acyclic complexes of …
and F is an acyclic complex of … between flat Proj-periodic modules and acyclic complexes of …
Totally Acyclic Complexes
HM Zolt - 2019 - digitalcommons.georgiasouthern …
… algebra, noncommutative algebra, representation theory, and model category theory [13].
That … cotorsion, making it cotorsion flat. This implies that B is an exact complex of cotorsion flat …
That … cotorsion, making it cotorsion flat. This implies that B is an exact complex of cotorsion flat …
On strongly flat and weakly cotorsion modules
L Positselski, A Slávik - Mathematische Zeitschrift, 2019 - Springer
… The aim of the theory developed in this paper is to describe flat modules over associative …
We denote this complex by and place it in the cohomological degrees 0 and 1 (so \(T^0=\…
We denote this complex by and place it in the cohomological degrees 0 and 1 (so \(T^0=\…
Minimal complexes of cotorsion flat modules
P Thompson - arXiv preprint arXiv:1702.02985, 2017 - arxiv.org
… ], we show that minimal complexes of cotorsion flat R-modules … complexes of projective or
injective Rmodules, one of our goals is to show (Theorem 3.5) that a complex B of cotorsion flat …
injective Rmodules, one of our goals is to show (Theorem 3.5) that a complex B of cotorsion flat …
Acyclic complexes and Gorenstein rings
… , as well as in representation theory and model category theory. This is the reason why the
… (2) Every exact complex of cotorsion-flat right R-modules is F-totally acyclic. (3) Every exact …
… (2) Every exact complex of cotorsion-flat right R-modules is F-totally acyclic. (3) Every exact …
Purity and ascent for Gorenstein flat cotorsion modules
I Bird - arXiv preprint arXiv:2108.08135, 2021 - arxiv.org
… We will call a right (F∩C)(R)-totally acyclic complex a totally acyclic complex of flat-… A
refinement of Gorenstein flat dimension via the flat-cotorsion theory. J. Algebra, 567:346–370, 2021…
refinement of Gorenstein flat dimension via the flat-cotorsion theory. J. Algebra, 567:346–370, 2021…
Gorenstein Homological Dimension of Groups Through Flat-Cotorsion Modules
A Hajizamani - Mathematics Interdisciplinary Research, 2024 - mir.kashanu.ac.ir
… in the theory of … totally acyclic complex of flat-cotorsion R-modules, then by symmetry,
all the kernels, cokernels and the images of the differentials of L are Gorenstein flat-cotorsion…
all the kernels, cokernels and the images of the differentials of L are Gorenstein flat-cotorsion…
Flat cotorsion modules over Noether algebras
R Kanda, T Nakamura - Documenta Mathematica, 2022 - ems.press
… role in homological algebra and representation theory (eg, [AB89], [… of totally acyclic
complexes of flat cotorsion modules is equivalent to the stable category of Gorenstein-flat cotorsion …
complexes of flat cotorsion modules is equivalent to the stable category of Gorenstein-flat cotorsion …
相关搜索
- homotopy categories flat cotorsion theory
- cotorsion theory flat quasi-coherent sheaves
- gorenstein homological dimension flat cotorsion modules
- acyclic complexes periodic modules
- acyclic complexes gorenstein rings
- chain complexes flat modules
- gorenstein complexes cotorsion pairs
- flat complexes noetherian rings
- cotorsion modules flat covers
- homotopy categories totally acyclic complexes