Results 71 to 80 of about 1,034,783 (201)
Semigroups of Cohomological Dimension One
Journal of Algebra, 1998 The aim of this paper is to prove that any bilaterally cancellative semigroup \(S\) of cohomological dimension \(1\) is embeddable into a group, in fact, it is proved that \(S\) is an \(L_\infty\) semigroup. It is known that the converse is not true. Some properties of cyclic systems of equations in cancellative semigroups of cohomological dimension ...
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Cohomological dimension of Laumon 1-motives up to isogenies [PDF]
, 2008 oai:arXiv.org:0809.4926We prove that the category of Laumon 1-motives up isogenies over a field of characteristic zero is of cohomological dimension $\le 1$.
Mazzari, N. +2 more
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Quasifinite fields of prescribed characteristic and Diophantine dimension
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet ℙ be the set of prime numbers, ℙ the union ℙ ∪ {0}, and for any field E, let char(E) be its characteristic, ddim(E) the Diophantine dimension of E, 𝒢E the absolute Galois group of E, and cd(𝒢E) the Galois cohomological dimension 𝒢E.
Chipchakov Ivan D., Paunov Boyan B.
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Principal quasi-ideals of cohomological dimension 1
, 2003 We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and only if it is ...
Novikov, B.V.
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Normal subgroups of profinite groups of finite cohomological dimension
, 2015 A profinite group G of finite cohomological dimension with (topologically) finitely generated closed normal subgroup N is studied. If G is pro-p and N is either free as a pro-p group or a Poincare group of dimension 2 or analytic pro-p, it is shown that ...
Zalesskii, P. A. +3 more
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On the dimension of analytic cohomology
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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Arithmeticity for integral cohomological dimension of configuration spaces of manifolds [PDF]
, 2023 Consider the configuration spaces of manifolds. We give a precise formula for the integral cohomological dimension (the degree of top non-trivial integral cohomology group) of unordered configuration spaces of manifolds with non-trivial co-dimension one ...
Yameen, Muhammad
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Gröbner deformations, connectedness and cohomological dimension
Journal of Algebra, 2009 17 ...
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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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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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