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seen Nov 8 '13 at 3:38

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Jun
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accepted Reference request: Tensor product of DG-modules
Jun
19
comment Reference request: Tensor product of DG-modules
Thanks, rational homotopy theory has the construction I was looking for
Jun
19
comment Reference request: Tensor product of DG-modules
Just to be sure, Osborne's book discusses tensor products over a DG-algebra?
Jun
19
asked Reference request: Tensor product of DG-modules
May
24
revised Finite projective dimension and vanishing of ext on f.g modules
added 197 characters in body
May
22
comment Finite projective dimension and vanishing of ext on f.g modules
I see. Thanks. Do you have an answer to the originial question?
May
22
asked Finite projective dimension and vanishing of ext on f.g modules
May
16
comment $H_{I}^{n}(M)\cong H_{I}^{n}(R)\otimes_R M.$
Note that $C(a,R)$ is a complex of flat modules.
May
15
comment $H_{I}^{n}(M)\cong H_{I}^{n}(R)\otimes_R M.$
In general you can read for example in Weibel's homological algebra. But for now - by total derived functor I just mean that you skip the last step in constructing derived functors, that is - don't take cohomology
May
15
comment $H_{I}^{n}(M)\cong H_{I}^{n}(R)\otimes_R M.$
If $R$ is noetherian, $a_1,\dots,a_n$ is a sequence that generates $I$, and $C(a_1,\dots,a_n)$ is the Cech complex associated to this sequence, then there is a functorial isomorphism in the derived category $R\Gamma_I(M) \cong M\otimes C(a_1,\dots,a_n)$. Thus what you asked in the comment follows from associtiviaty of the tensor product.
May
15
comment What is the derivative of $\ln(4^x)$?
as you said, $ln(4^x)$ = $xln4$, so its derivative is simply $ln4$.
May
15
revised $H_{I}^{n}(M)\cong H_{I}^{n}(R)\otimes_R M.$
edited tags
May
15
answered $H_{I}^{n}(M)\cong H_{I}^{n}(R)\otimes_R M.$
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Mar
13
comment How long does it take to write a math paper?
I don't think it is possible to answer this question. Some papers take days to write, some take years.