On flat and Gorenstein flat dimensions of local cohomology modules
… e following theorem, which is one of the main results of this section, provides a
comparison between the flat dimensions of a relative Cohen–Macaulay module and its non-zero …
comparison between the flat dimensions of a relative Cohen–Macaulay module and its non-zero …
On the dimension and multiplicity of local cohomology modules
MP Brodmann, RY Sharp - Nagoya Mathematical Journal, 2002 - cambridge.org
… Along the way, we establish (in 2.1) a result, about a flat local homomorphism of local rings
… a flat local homomorphism of local rings such that B/mB is Cohen–Macaulay of dimension d. …
… a flat local homomorphism of local rings such that B/mB is Cohen–Macaulay of dimension d. …
Cohomology theories based on flats
J Asadollahi, S Salarian - Journal of Algebra, 2012 - Elsevier
… in the category D(Flat A), which we call F-total acyclicity. We define finiteness of an F-Gorenstein
flat dimension for any complex. We show that the F-Gorenstein flat dimension of a …
flat dimension for any complex. We show that the F-Gorenstein flat dimension of a …
Cofiniteness of local cohomology modules for ideals of small dimension
K Bahmanpour, R Naghipour - Journal of Algebra, 2009 - Elsevier
… For an R-module M, the ith local cohomology module of M … R such that dim R/I = 1, then the
local cohomology modules Hi … cohomology modules, see Lyubeznik’s interesting paper [23]. …
local cohomology modules Hi … cohomology modules, see Lyubeznik’s interesting paper [23]. …
Betti numbers and flat dimensions of local cohomology modules
A Vahidi - Canadian Mathematical Bulletin, 2015 - cambridge.org
… In Section , we study the flat dimensions of local cohomology modules. In Corollary ., we …
projective dimension of M in terms of the flat dimensions of its local cohomology modules and, …
projective dimension of M in terms of the flat dimensions of its local cohomology modules and, …
Deformation spaces of one-dimensional formal modules and their cohomology
M Strauch - Advances in Mathematics, 2008 - Elsevier
… -dimensional formal module over F p equipped with a level-m-structure. By work of Boyer (in
equal characteristic) and Harris and Taylor, the ℓ-adic étale cohomology of … Drinfeld modular …
equal characteristic) and Harris and Taylor, the ℓ-adic étale cohomology of … Drinfeld modular …
[引用][C] Bounded complexes of flat modules
HB Foxby - Journal of Pure and Applied Algebra, 1979 - Elsevier
… which most of the results about homological dimensions easily can be derived. In … cohomology
modules are not finitely generated. In Section 3 we define the depth and the dimension of …
modules are not finitely generated. In Section 3 we define the depth and the dimension of …
Flat manifolds and the cohomology of groups
MW Hirsch - Algebraic and Geometric Topology: Proceedings of a …, 2006 - Springer
… of 3-dimensional flat manifolds satisfying the hypotheses of Theorems A and B are found in
Auslander [lJ, Auslander and Markus [2J. In the case of a compact flat Riemannian manifold (…
Auslander [lJ, Auslander and Markus [2J. In the case of a compact flat Riemannian manifold (…
[引用][C] Some results on the vanishing of local cohomology modules
RY Sharp - Proceedings of the London Mathematical Society, 1975 - Wiley Online Library
… cohomology modules of A regarded as a module over itself, and prescribes the depth and
dimension of … The natural local homomorphism A -» B makes B a flat ,4-module. Let nte denote …
dimension of … The natural local homomorphism A -» B makes B a flat ,4-module. Let nte denote …
Squarefree modules and local cohomology modules at monomial ideals
K Yanagawa - Local cohomology and its applications, 2001 - taylorfrancis.com
… Then r• consists of squarefree modules S( -F), so we have a flat complex Z(Homs(r•,ws))(1), …
But Ext1(S/It:;.,ws) is a CohenMacaulay module of dimension 3, and the module structure of …
But Ext1(S/It:;.,ws) is a CohenMacaulay module of dimension 3, and the module structure of …
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