Timeline for A question about projectivity of $M\otimes F$ where $F$ is faithfully flat
Current License: CC BY-SA 3.0
10 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Jul 28, 2017 at 4:28 | comment | added | abx | Bourbaki, Commutative Algebra, ch. I, §3, Proposition 12. | |
S Jul 28, 2017 at 0:03 | history | suggested | Ali Taghavi |
I add a tag
|
|
Jul 27, 2017 at 23:55 | review | Suggested edits | |||
S Jul 28, 2017 at 0:03 | |||||
Jun 15, 2017 at 4:26 | comment | added | Homa81 | Thank you very much. But how can I prove this? | |
Jun 15, 2017 at 4:25 | history | edited | Homa81 | CC BY-SA 3.0 |
added 48 characters in body
|
Jun 14, 2017 at 20:30 | comment | added | Mohan | If $\Lambda$ is a finitely generated $R$-module, this is correct. If you merely assume that it is just a finitely generated $R$-algebra (as you state in the question), this is false in general. | |
Jun 14, 2017 at 18:20 | comment | added | Homa81 | $\Lambda$ is finitely genreated as an $R$-module. In fact, $\Lambda$ is a noether $R$-algebra. | |
Jun 14, 2017 at 18:06 | comment | added | Will Sawin | Is $\Gamma$ finitely generated as a module or an algebra? If an algebra, what if $R= k[x], \Gamma = k[x,x^{-1}]$? | |
Jun 14, 2017 at 17:52 | review | First posts | |||
Jun 14, 2017 at 17:55 | |||||
Jun 14, 2017 at 17:49 | history | asked | Homa81 | CC BY-SA 3.0 |