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Generalized local cohomology and Serre cohomological dimension

Summary: Let \(R\) be a commutative Noetherian ring, \(I \), \(J\) be two ideals of \(R\), and \(M\), \(N\) be two \(R\)-modules. Let \(S\) be a Serre subcategory of the category of \(R\)-modules. We introduce Serre cohomological dimension of \(N\), \(M\) with respect to \((I, J)\), as \(\mathrm{cd}_S(I, J, N, M) = \sup\{i\in\mathbb{N}_0: H_{I, J}^i(N,
openaire   +2 more sources

Linear groups of finite cohomological dimension

Inventiones Mathematicae, 1982
Roger C Alperin   +2 more
exaly  

Cohomological dimension of Tychonov spaces

Topology and Its Applications, 1997
Alex Chigogidze
exaly  

Galois cohomology of the classical groups over fields of cohomological dimension?2

Inventiones Mathematicae, 1995
E Bayer-Fluckiger   +2 more
exaly  

Baumslag-Solitar groups and some other groups of cohomological dimension two

Commentarii Mathematici Helvetici, 1990
P H Kropholler
exaly  

On cohomological dimension and depth under linkage

Communications in Algebra, 2017
N Shirmohammadi
exaly  

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