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Symmetry invariants and classes of quasiparticles in magnetically ordered systems having weak spin-orbit coupling. [PDF]
Yang J, Liu ZX, Fang C.
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Fusion 3-Categories for Duality Defects. [PDF]
Bhardwaj L +3 more
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Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature. [PDF]
Honda S, Mondino A.
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Stability of Homomorphisms, Coverings and Cocycles I: Equivalence
Chapman M, Lubotzky A.
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Relative Cohomology and Generalized Tate Cohomology
Algebras and Representation Theory, 2017Let \(R\) 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, 1998Let \(G\) 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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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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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, 2008The 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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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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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
1997In 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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