Timeline for Uncountable counterexamples in algebra
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 12, 2021 at 12:04 | comment | added | Benjamin Steinberg | @Student this is the same counterexample I have in my answer but I didn't put the proof | |
| May 12, 2021 at 3:22 | comment | added | Student | This is also known as the failure of the Schur's lemma in uncountable dimensions - see this with a proof in the countable case and a counter-proof in the uncountable case. | |
| May 9, 2021 at 20:56 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ | ||
| May 9, 2021 at 20:46 | comment | added | Benjamin Steinberg | Yes. It is really about the algebra having smaller dimension than the cardinality of the field | |
| May 9, 2021 at 20:39 | comment | added | YCor | So eventually the point is that every field extension of an algebraically closed field of infinite cardinal $\alpha$ has dimension $\ge\alpha$. | |
| May 9, 2021 at 20:34 | history | answered | Benjamin Steinberg | CC BY-SA 4.0 |