Cohomological dimension - Open Access .click

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Mathematische Zeitschrift, 1982
If X is a q-convex complex manifold then dimcH~(X, Y) = q for any coherent analytic sheaf. This is a result of Andreotti and Grauert [1] using abstract functional analysis methods. In Buchner, Fritzsche, Sakai [5] the special situation X=IP,\Y was investigated, where Y is an "extremely" homogeneous algebraic submanifold of IP~ (These Y's were called ...
Fritzsche, Klaus, Buchner, Michael
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Gröbner deformations, connectedness and cohomological dimension

Journal of Algebra, 2009
17 ...
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Cohomological dimension and global dimension of algebras [PDF]

Proceedings of the American Mathematical Society, 1972
Let R be a regular local ring and A an algebra over R which is an R-progenerator. Defining the cohomological dimension of A as R-dim A=l hdAe(A), one obtains the Hochschild cohomological dimension of A as an R-algebra. We show the following under the additional hypothesis that R-dim A is finite: (1) R-dim A =n iff A/N is R-separable and l hdA(A/N)=n+gl
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Cohomological dimension and top local cohomology modules

Rocky Mountain Journal of Mathematics, 2019
Let \(R\) be a commutative Noetherian ring with identity. Let \(I\) be an ideal of \(R\) and \(M\) a finitely generated \(R\)-module. The authors prove some interesting results concerning the notion of cohomological dimension. The \textit{cohomological dimension} of \(M\) with respect to \(I\) is defined as \[ \text{cd}(I,M):=\sup\{i\in \mathbb{N}_0 ...
Erdoğdu, Vahap, Yıldırım, Tuğba
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The dominant dimension of cohomological Mackey functors [PDF]

, 2018
We show that a separable equivalence between symmetric algebras preserves the dominant dimensions of certain endomorphism algebras of modules. We apply this to show that the dominant dimension of the category coMack(B) of cohomological Mackey functors of
Markus Linckelmann, Linckelmann, M.
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A one dimensional manifold is of cohomological dimension 2

, 1975
G. Bredon defines the cohomological Dimension of a topological space X X to be the supremum of all cohomological ϕ \phi -dimensions of X X , where ϕ \phi varies over the entire ...
Satya Deo
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A Note on Artinianess of Certain Generalized [PDF]

Journal of Sciences, Islamic Republic of Iran, 2008
Let ?: R0?R be a ring homomorphism and suppose that a and a0, respectively, are ideals of R and R0 such that is an Artinian ring. Let M and N be two finitely generated R-modules and suppose that (R0,m0) is a local ring. In this note we prove that the R-
doaj

Framed cohomological Hall algebras and cohomological stable envelopes. [PDF]

Lett Math Phys, 2023
Botta TM.
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Dimension in Bredon cohomology

Journal of Pure and Applied Algebra, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Two-relator groups with prescribed cohomological dimension

, 1987
For each integer n ⩾ 2 n \geqslant 2 , an example is constructed of a 2 2 -generator, 2 2 -relator presentation of a group G ( n ) G(n)
James Howie
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