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Fusion 3-Categories for Duality Defects. [PDF]

open access: yesCommun Math Phys
Bhardwaj L   +3 more
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Relative Cohomology and Generalized Tate Cohomology

Algebras and Representation Theory, 2017
Let \(R\) be a ring with identity, all \(R\)-modules in the paper are considered to be left modules and unitary. Using proper resolutions of modules over \(R\), the authors of this paper discuss relative homological dimensions and relative derived functors.
Bin Yu, Xiaosheng Zhu, Yanbo Zhou
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Coarse Cohomology and lp-Cohomology

K-Theory, 1998
Let \(G\) be a connected, undirected infinite graph with uniformly bounded vertex degrees. For any \(k\in\mathbb{N}\) and \(k=\infty\) the \(k\)th reduced and unreduced \(\ell_p\)-cohomologies for those graphs are defined: \(HX^k_{(p)}(G)\) and \(\overline{HX}^k_{(p)}(G)\).
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Relative Cohomology

Canadian Journal of Mathematics, 1957
It is our purpose in this paper to present certain aspects of a cohomology theory of a ring R relative to a subring S, basing the theory on the notions of induced and produced pairs of our earlier paper (2), but making the paper self-contained except for ...
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Cohomological Dimension of Generalized Local Cohomology Modules

Algebra Colloquium, 2008
The study of the cohomological dimension of algebraic varieties has produced some interesting results and problems in local algebra. Let 𝔞 be an ideal of a commutative Noetherian ring R. For finitely generated R-modules M and N, the concept of cohomological dimension cd 𝔞(M, N) of M and N with respect to 𝔞 is introduced.
Amjadi, Jafar, Naghipour, Reza
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Rigid Cohomology

2007
Dating back to work of Berthelot, rigid cohomology appeared as a common generalization of Monsky-Washnitzer cohomology and crystalline cohomology. It is a p-adic Weil cohomology suitable for computing Zeta and L-functions for algebraic varieties on finite fields.
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Homology. Cohomology. de Rham Cohomology

1997
In mathematics one often encounters the following situation. Let a sequence of abelian groups (modules) ... be given $$ \{ {C^n},n \in \mathbb{Z}\} $$ (1*) together with homomorphisms d n : C n → C n+1 (called differentials or coboundary homomorphisms) for whose $$ {d_{n + 1}}{d_n} = 0 (zero group) for all n. $$ (2*)
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