Flat cotorsion modules over Noether algebras
R Kanda, T Nakamura - Documenta Mathematica, 2022 - ems.press
… to complexes of modules. Gillespie [Gil04] showed that the flat cotorsion pair induces two
complete cotorsion … right minimal) if and only if so is f∗(g) in Mod A. Consequently, if f is a ring …
complete cotorsion … right minimal) if and only if so is f∗(g) in Mod A. Consequently, if f is a ring …
[HTML][HTML] Minimal semi-flat-cotorsion replacements and cosupport
T Nakamura, P Thompson - Journal of Algebra, 2020 - Elsevier
… complex of flat cotorsion R-modules decomposes as a direct sum of a minimal complex and
a contractible complex. … a semi-flat-cotorsion complex as a special type of semi-flat complex, …
a contractible complex. … a semi-flat-cotorsion complex as a special type of semi-flat complex, …
The homotopy category of cotorsion flat modules
H Eshraghi, A Hajizamani - Applied Categorical Structures, 2021 - Springer
… cotorsion flat resolutions of complexes and define and study the notion of cotorsion flat
dimension for complexes of flat R-modules… category of projective R-modules. Combined with the …
dimension for complexes of flat R-modules… category of projective R-modules. Combined with the …
[PDF][PDF] Flat Covers and Cotorsion in Persistence
V Puuska - 2023 - trepo.tuni.fi
… flat cotorsion modules and minimal flat resolutions—which was developed by Enochs and Xu
for modules … shape of a dataset by building a simplicial complex on top of the dataset. This …
for modules … shape of a dataset by building a simplicial complex on top of the dataset. This …
[图书][B] Covers and envelopes in the category of complexes of modules
JRG Rozas - 2022 - taylorfrancis.com
… We finish this chapter by proving that any complex is qùasi-isomorphic to a minimal DG-…
finitely generated module over a Gorenstein local ring. In Chapter 4 we introduce flat complexes. …
finitely generated module over a Gorenstein local ring. In Chapter 4 we introduce flat complexes. …
Homotopy categories of totally acyclic complexes with applications to the flat-cotorsion theory
LW Christensen, S Estrada… - … combinatorial methods in …, 2020 - books.google.com
… theory over a coherent ring, this provides a new description of the category of cotorsion
Gorenstein flat modules; one that puts it on equal footing with the category of Gorenstein …
Gorenstein flat modules; one that puts it on equal footing with the category of Gorenstein …
Purity and ascent for Gorenstein flat cotorsion modules
I Bird - arXiv preprint arXiv:2108.08135, 2021 - arxiv.org
… )(R)-totally acyclic complex a totally acyclic complex of flat-cotorsion modules. The following
… In particular, R has projective dimension one as an R♯-module, with a minimal resolution …
… In particular, R has projective dimension one as an R♯-module, with a minimal resolution …
Model structures and relative Gorenstein flat modules and chain complexes
S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
… by the class of Gorenstein flat modules, and the fibrant objects by the class of cotorsion …
definable closure of B, that is, the smallest definable subcategory containing B. For the purposes …
definable closure of B, that is, the smallest definable subcategory containing B. For the purposes …
Gorenstein Homological Dimension of Groups Through Flat-Cotorsion Modules
A Hajizamani - Mathematics Interdisciplinary Research, 2024 - mir.kashanu.ac.ir
… module is flat-cotorsion, we mean that it is flat and cotorsion at the same time. An acyclic
R-complex L of flat-cotorsion modules … minimal flat resolution (a flat resolution made of flat covers…
R-complex L of flat-cotorsion modules … minimal flat resolution (a flat resolution made of flat covers…
Local, colocal, and antilocal properties of modules and complexes over commutative rings
L Positselski - Journal of Algebra, 2024 - Elsevier
… flat complexes of flat contraadjusted modules and acyclic complexes of flat contraadjusted
modules with flat modules … of modules and complexes arise in connection with cotorsion pairs, …
modules with flat modules … of modules and complexes arise in connection with cotorsion pairs, …
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- gorenstein flat modules
- bounded complexes flat modules
- chain complexes flat modules
- unbounded complexes cotorsion dimension
- gorenstein homological dimension flat cotorsion modules
- totally acyclic complexes flat cotorsion theory
- complexes of projective modules
- commutative rings modules and complexes
- cotorsion modules flat covers
- cotorsion theory flat quasi-coherent sheaves
- cotilting modules cotorsion pairs
- acyclic complexes periodic modules
- model structures flat modules
- homotopy categories flat cotorsion theory
- gorenstein complexes cotorsion pairs
- gorenstein cotorsion modules