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Results tagged with homological-algebra
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user 86066
(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.
2
votes
0
answers
107
views
Acyclic extension of free DGA-modules
I want to find some method to do the following: given an DGA-module $M$
over some commutative ring $k$, positively graded ($M_i=0$ if $i<0$), where each component $M_i$ has a free action by the symmet …
- 133
1
vote
1
answer
515
views
Free Symmetric Operads and $\mathbb{S}$-modules
In the definition of operads, if we restrict our attention to $\mathbb{S}$-modules where the action by the symmetric groups is free, then the free operads
have still an underlying free $\mathbb{S}$-m …
- 133
6
votes
2
answers
2k
views
Definition of E-infinity operad
What is the definition of $E_\infty$-operad in the category of chain complexes over $\mathbb{Z}/p\mathbb{Z}$? J. Smith in http://arxiv.org/abs/math/0004003 define it for complexes over $\mathbb{Z}$ (D …
- 133