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Cohomology with support of dimension ≤ d
Journal of Algebra and Its Applications, 2016Let [Formula: see text] be a commutative Noetherian ring, [Formula: see text] be an integer and let [Formula: see text] denote the ideals of [Formula: see text] of dimension [Formula: see text]. For an integer [Formula: see text] and [Formula: see text]-modules [Formula: see text], we define the [Formula: see text]th cohomology module [Formula: see ...
Zamani, N. +2 more
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Yang–Mills cohomology in four dimensions
Journal of Mathematical Physics, 1986The local polynomial cohomology space of the Yang–Mills BRS operator in four dimensions is computed. In order to simplify the analysis, without omitting the physically interesting cases, the investigation is limited to polynomials whose Fadeev–Popov charge and UV naive dimensions have upper bounds.
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On cohomological dimension of homomorphisms
Proceedings of the American Mathematical SocietyThe (co)homological dimension of a homomorphism ϕ : G
De Saha, Aditya, Dranishnikov, Alexander
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The Cohomological Dimension of Gs
2002In this chapter k is an arbitrary global field of finite type. We study the cohomology groups H v (Gs) in more detail and prove in particular that H3(Gs) vanishes under certain conditions.
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Cohomological Dimension and Abelian Varieties
American Journal of Mathematics, 1973openaire +2 more sources
On Lie -algebras of cohomological dimension one
Indagationes Mathematicae, 2019Pasha Zusmanovich
exaly
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