Results 11 to 20 of about 1,113 (200)
Cohomological dimension of an abelian monoid [PDF]
Proceedings of the American Mathematical Society, 1980 It is shown that the cohomological dimension of an abelian monoid is equal to that of its group reflection provided that the monoid is either finitely generated or cancellative.
Cheng, Charles Ching-An, Shapiro, Jay
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Strong Cohomological Dimension [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2008 We characterize strong cohomological dimension of separable metric spaces in terms of extension of mappings. Using this characterization, we discuss the relation between strong cohomological dimension and (ordinal) cohomological dimension and give examples to clarify their gaps.
Jerzy Dydak, Akira Koyama
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The Cohomological Dimension of a Directed Set [PDF]
Canadian Journal of Mathematics, 1973 Let R be a ring with identity, and let C be a small, nonempty category. We denote the category of right R-modules by AbR and the category of contravariant functors C → AbR by AbRC*. The limit functoris left exact, and its kth right derived functor is denoted by colimk.
Barry Mitchell
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The role of cohomology in quantum computation with magic states [PDF]
Quantum, 2023 A web of cohomological facts relates quantum error correction, measurement-based quantum computation, symmetry protected topological order and contextuality. Here we extend this web to quantum computation with magic states.
Robert Raussendorf +3 more
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Some results on gorenstein flat (gorenstein cotorsion) dimensions of modules over group rings [PDF]
ریاضی و جامعه, 2022 Let $R$ be a commutative ring, Γ be a group, and Γ′ be a subgroup of finite index. In this paper, we study the class of Gorenstein flat (resp. Gorenstein cotorsion) modules over the group ring RΓ.
Ali Hajizamani
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Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension
Forum of Mathematics, Pi, 2022 We study the Hodge filtration on the local cohomology sheaves of a smooth complex algebraic variety along a closed subscheme Z in terms of log resolutions and derive applications regarding the local cohomological dimension, the Du Bois complex, local ...
Mircea Mustaţă, Mihnea Popa
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Upper bounds and attached primes of top local cohomology modules defined by a pair of ideals [PDF]
Journal of Hyperstructures, 2014 Throughout R is a Noetherian local ring. In this paper we study cohomological dimension of an R-module M with respect to a pair of ideals and some of its relations with the attached prime ideals of M and the cohomological dimension of M with respect to ...
Sh. Payrovi, S. Karim
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On the monoidal invariance of the cohomological dimension of Hopf algebras
Comptes Rendus. Mathématique, 2022 We discuss the question of whether the global dimension is a monoidal invariant for Hopf algebras, in the sense that if two Hopf algebras have equivalent monoidal categories of comodules, then their global dimensions should be equal.
Bichon, Julien
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ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X] [PDF]
Journal of Algebraic Systems, 2020 Let R be a commutative Noetherian ring, I an ideal of R and M a non-zero R-module. In this paper we calculate the extension of annihilator of local cohomology modules H^t_I(M), t≥0, under the ring extension R⊂R[X] (resp. R⊂R[[X]]).
M. Seidali Samani, K. Bahmanpour
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Cohomological Dimension and Schreier's Formula in Galois Cohomology [PDF]
Canadian Mathematical Bulletin, 2007 AbstractLet p be a prime and F a field containing a primitive p-th root of unity. Then for n ∈ N, the cohomological dimension of the maximal pro-p-quotient G of the absolute Galois group of F is at most n if and only if the corestriction maps are surjective for all open subgroups H of index p. Using this result, we generalize Schreier's formula for .
Labute, John +3 more
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