Timeline for Commutation of tensor products with inverse limits in a specific case
Current License: CC BY-SA 4.0
11 events
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| Jan 10, 2021 at 6:25 | history | edited | Duchamp Gérard H. E. | CC BY-SA 4.0 |
Added a link in the end
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| Mar 20, 2015 at 23:40 | comment | added | Theo Johnson-Freyd | That's the one. | |
| Mar 20, 2015 at 5:50 | vote | accept | Duchamp Gérard H. E. | ||
| Mar 19, 2015 at 23:51 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
added 6 characters in body
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| Mar 19, 2015 at 23:36 | comment | added | Duchamp Gérard H. E. | I found the reference and think it is : K. R. GOODEARL, DISTRIBUTING TENSOR PRODUCT OVER DIRECT PRODUCT, PACIFIC JOURNAL OF MATHEMATICS Vol. 43, No. 1, 1972 | |
| Mar 19, 2015 at 23:26 | comment | added | Duchamp Gérard H. E. | Yes, I mean $\otimes = \otimes_R$. Thank you for the reference. | |
| Mar 19, 2015 at 21:32 | comment | added | Theo Johnson-Freyd | As user74230 suggested in an answer below, I assume you mean $\otimes = \otimes_R$? Then there is a paper by Goodearl --- I am traveling and don't remember a more precise reference --- that studies more generally the map $M \otimes_R \prod_i N_i \to \prod_i(M\otimes N_i)$. My memory is that it is always injective when $R$ is Noetherian, but at that level of generality injectivity can fail when $R$ is not Neotherian. Actually, I think the failure is witnessed by modules that are isomorphic to $R^X$ for some $X$. | |
| S Mar 19, 2015 at 18:08 | history | suggested | user 1 |
tags added
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| Mar 19, 2015 at 17:48 | review | Suggested edits | |||
| S Mar 19, 2015 at 18:08 | |||||
| Mar 19, 2015 at 14:57 | answer | added | user74230 | timeline score: 4 | |
| Mar 19, 2015 at 14:36 | history | asked | Duchamp Gérard H. E. | CC BY-SA 3.0 |