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Results tagged with homological-algebra
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user 18850
(Co)chain complexes, abelian Categories, (pre)sheaves, (co)homology in various (possibly highly generalized) settings, spectra, derived functors, resolutions, spectral sequences, homotopy categories. Chain complexes in an abelian category form the heart of homological algebra.
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Tor functor in the case of algebra of smooth functions
Let $A=C^{\infty}(\mathbb{S}^{1})$, let $B$ be the sub-algebra $C^{\infty}(0,1)$. Here we identify $\mathbb{S}^{1}$ by $\mathbb{R}/2\pi \mathbb{Z}$. I want to ask if there is a way I can decompose $A$ …
- 6,249
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Normalization of Hochschild cocycles
It makes sense to give a precise reference:
It is proved in page 13 (and 46) of Loday's book in detail. The original reference may be Loday&Quillen's paper, where they proved it in page 8 and drawn …
- 6,249
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Accepted
Definition of Non-commutative de-Rham-Cohomology
I do not really know the reason, but if I would guess I think it might be $\Omega(A)$ is no longer an abelian category. The exact sequences you written down are not just exact sequences of abelian gro …
- 6,249