Gorenstein Homological Dimension of Groups Through Flat-Cotorsion Modules
A Hajizamani - Mathematics Interdisciplinary Research, 2024 - mir.kashanu.ac.ir
… • (i) Several characterizations of complexes of finite Gorenstein flat-cotorsion dimension are
… To this end, consider a partial minimal flat resolution (a flat resolution made of flat covers) of …
… To this end, consider a partial minimal flat resolution (a flat resolution made of flat covers) of …
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, …
Relative Gorenstein flat modules and Foxby classes and their model structures
… Gorenstein cotorsion and cotorsion modules: GC-cotorsion … that a class A of R-modules
(or complexes) is a κ-Kaplansky … M, denoted by FP-idR(M), is defined to be the smallest non-…
(or complexes) is a κ-Kaplansky … M, denoted by FP-idR(M), is defined to be the smallest non-…
Flat morphisms of finite presentation are very flat
L Positselski, A Slávik - Annali di Matematica Pura ed Applicata (1923-), 2020 - Springer
… (In fact, the locally cotorsion contraherent cosheaves over locally Noetherian … of flat cotorsion
modules over Noetherian rings [7].) But over a non-Noetherian scheme locally cotorsion …
modules over Noetherian rings [7].) But over a non-Noetherian scheme locally cotorsion …
Rigidity of Ext and Tor via flat–cotorsion theory
LW Christensen, L Ferraro… - Proceedings of the …, 2023 - cambridge.org
… In § 4, we prove results on flat dimension of complexes which are dual to … minimal semi-flat-cotorsion
replacements. Recall first that a flat-cotorsion module is one which is both flat …
replacements. Recall first that a flat-cotorsion module is one which is both flat …
On copure projective and cotorsion modules
W Ren, D Zhang - Studia Scientiarum Mathematicarum Hungarica, 2019 - akjournals.com
… of copure projective, flat and cotorsion modules respectively. … extended the cotorsion dimension
to unbounded complexes [… for any R-module M is defined to be the smallest integer n ≥ …
to unbounded complexes [… for any R-module M is defined to be the smallest integer n ≥ …
K-flatness and orthogonality in homotopy categories
I Emmanouil - Israel Journal of Mathematics, 2023 - Springer
… In this paper, we show that the class K-flat consisting of all K-flat complexes is … Flat of flat
modules, the class Cotor of cotorsion modules, the class Flat-Cotor of flat cotorsion modules, the …
modules, the class Cotor of cotorsion modules, the class Flat-Cotor of flat cotorsion modules, the …
Projectively coresolved Gorenstein flat and ding projective modules
A Iacob - Communications in Algebra, 2020 - Taylor & Francis
… They are the cycles of exact complexes of flat modules that … class of modules B , denoted <
B > , is the smallest definable … We also recall that a cotorsion pair is said to be hereditary if E x …
B > , is the smallest definable … We also recall that a cotorsion pair is said to be hereditary if E x …
[PDF][PDF] Module classes induced by complexes and λ-pure-injective modules
M Cortés-Izurdiaga, J Šaroch - arXiv preprint arXiv:2104.08602, 2021 - researchgate.net
… The cotorsion pair is called complete if for every module M … flat modules are the modules
in Z(Ac(Ch(Proj), ⊤Inj)), PGFlat. … by a class of modules X, that is, the smallest definable class …
in Z(Ac(Ch(Proj), ⊤Inj)), PGFlat. … by a class of modules X, that is, the smallest definable class …
New model structures and projective (injective) cotorsion pairs
A Xu - Journal of Algebra and Its Applications, 2023 - World Scientific
… R-modules or the category of chain complexes of R-modules. Given two two complete hereditary
cotorsion … R-module is flat and cotorsion if and only if it is Gorenstein flat and Gorenstein …
cotorsion … R-module is flat and cotorsion if and only if it is Gorenstein flat and Gorenstein …