Timeline for Nondegenerate pairings versus perfect pairings for finitely generated projective modules
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 9, 2022 at 11:57 | comment | added | Adam Bondal | @Najib: Excellent example! This illustrates exactly what goes wrong. | |
| Mar 8, 2022 at 14:48 | comment | added | Najib Idrissi | Just take $R = M = N = \mathbb{Z}$ and $\langle m, n \rangle = 2mn$. | |
| Mar 8, 2022 at 14:14 | vote | accept | Adam Bondal | ||
| Mar 8, 2022 at 14:06 | comment | added | Daniel Litt | In general $M, N$ need not even be abstractly isomorphic. For example, any two rank one projective modules over a ring admit a non-degenerate pairing, as such a pairing is the same as a nonzero element of $(M\otimes N)^\vee$. | |
| Mar 8, 2022 at 14:04 | history | edited | Adam Bondal | CC BY-SA 4.0 |
added 132 characters in body
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| Mar 8, 2022 at 14:02 | answer | added | Jan Grabowski | timeline score: 5 | |
| Mar 8, 2022 at 13:55 | history | asked | Adam Bondal | CC BY-SA 4.0 |