Timeline for Can a commutative, associative "multiplication" on an infinite-dimensional vector space be an isomorphism?
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| Oct 16, 2010 at 23:29 | comment | added | Theo Johnson-Freyd | @Andreas Thom: Yes, I had gotten that far, and almost wrote "but necessarily not unital" where I wrote "do not demand that it is unital". I changed my mind because (1) the zero- and one-dimensional examples are unital, and (2) I hadn't come to the question yet. | |
| Oct 16, 2010 at 22:57 | answer | added | Todd Trimble | timeline score: 10 | |
| Oct 16, 2010 at 14:30 | comment | added | Andreas Thom | If $V$ has a unit and the multiplication is an isomorphism, then $1 \otimes a = a \otimes 1$, which forces $a$ to be a multiple of $1$. I am not sure about the non-unital case, but it seems rather hopeless. | |
| Oct 16, 2010 at 7:44 | vote | accept | Theo Johnson-Freyd | ||
| Oct 16, 2010 at 7:37 | history | edited | Ben Webster♦ | CC BY-SA 2.5 |
fixed typo
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| Oct 16, 2010 at 6:46 | answer | added | S. Carnahan♦ | timeline score: 10 | |
| Oct 16, 2010 at 6:25 | history | asked | Theo Johnson-Freyd | CC BY-SA 2.5 |