[引用][C] Bounded complexes of flat modules
HB Foxby - Journal of Pure and Applied Algebra, 1979 - Elsevier
… a bounded complex of flat modules into a bounded complex of flat modules, a corresponding
statement holds in the derived category of the category of A-modules. This is Theorem 6.5. …
statement holds in the derived category of the category of A-modules. This is Theorem 6.5. …
Homological dimensions of complexes of modules
HB Foxby - Séminaire d'Algèbre Paul Dubreil et Marie-Paule …, 1980 - Springer
… of homological dimensions of bounded complexes of modules as proposed by … a field, then
the inequality in (0.3) holds for any bounded complexes … M consists of flat modules such that …
the inequality in (0.3) holds for any bounded complexes … M consists of flat modules such that …
[图书][B] Covers and envelopes in the category of complexes of modules
JRG Rozas - 2022 - taylorfrancis.com
… Basically he removed the boundedness conditions in some theorems about the existence of
… generated module over a Gorenstein local ring. In Chapter 4 we introduce flat complexes. …
… generated module over a Gorenstein local ring. In Chapter 4 we introduce flat complexes. …
On Ding injective, Ding projective and Ding flat modules and complexes
J Gillespie - 2017 - projecteuclid.org
… Now, consider the bounded complex X of finitely presented complexes with Xn = Cn/BnC,
Xn−1 = Cn−1, Xn−2 = Cn−1/Bn−1C and Xi = 0 for all other i. There is a chain map g : X −→ Y …
Xn−1 = Cn−1, Xn−2 = Cn−1/Bn−1C and Xi = 0 for all other i. There is a chain map g : X −→ Y …
[HTML][HTML] On pure acyclic complexes
I Emmanouil - Journal of Algebra, 2016 - Elsevier
… that the projective dimension of flat modules is then ≤ n + 1 ) … projective dimension of flat
modules is then bounded by the … bounded complex of flat right modules, the complex DX is left …
modules is then bounded by the … bounded complex of flat right modules, the complex DX is left …
Acyclicity of complexes of flat modules
M Hashimoto - Nagoya Mathematical Journal, 2008 - cambridge.org
… exact complex G of right A-modules bounded above (ie, G−i = Gi = 0 for i ≫ 0). A complex F
of flat left A-modules is K-flat if it is bounded … A null-homotopic complex F is K-flat, since G ⊗• …
of flat left A-modules is K-flat if it is bounded … A null-homotopic complex F is K-flat, since G ⊗• …
A bounded below, noncontractible, acyclic complex of projective modules
L Positselski - Acta Mathematica Hungarica, 2024 - Springer
… question about flat S-modules. Here one … bounded acyclic complex of flat modules need
not be contractible. However, such a complex is always pure acyclic, or in other words, has flat …
not be contractible. However, such a complex is always pure acyclic, or in other words, has flat …
Strongly Gorenstein flat dimensions of complexes
Z Wang, Z Liu - Communications in Algebra, 2016 - Taylor & Francis
… Gorenstein flat dimensions for complexes of left modules over associative rings. In particular,
we consider the class of homologically bounded below complexes of left R-modules, and …
we consider the class of homologically bounded below complexes of left R-modules, and …
The homotopy category of flat modules, and Grothendieck duality
A Neeman - Inventiones mathematicae, 2008 - Springer
… consider bounded versions; thus Db(A) is the derived category of bounded complexes in
A. … We will use some standard lemmas about flat modules a great deal; because we rely on …
A. … We will use some standard lemmas about flat modules a great deal; because we rely on …
Complexes of Gorenstein flat modules and Gorenstein cotorsion modules
Z Wang, Z Liu - Communications in Algebra®, 2010 - Taylor & Francis
… of strongly Gorenstein flat complexes. We show that a complex C of left R-modules over a
right … For a right coherent ring R, we show that every bounded below complex has a 𝒮𝒢 ⊥ -…
right … For a right coherent ring R, we show that every bounded below complex has a 𝒮𝒢 ⊥ -…
相关搜索
- gorenstein flat modules
- projective injective and flat modules
- finitely generated flat modules
- large subdirect products flat modules
- commutative noetherian rings flat modules
- grothendieck duality flat modules
- flat covers of modules
- homological dimensions complexes of modules
- homotopy category flat modules
- complexes of projective modules
- covers and envelopes complexes of modules
- flat complexes noetherian rings