Timeline for Proof a Weyl Algebra isn't isomorphic to a matrix ring over a division ring
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 26, 2011 at 16:16 | comment | added | Johan Öinert | Jack, you are of course right. Thanks for pointing this out. I have tried to make my "answer" a bit more clear now. | |
| Jun 26, 2011 at 16:11 | history | edited | Johan Öinert | CC BY-SA 3.0 |
Pointed out that this is not an answer to the original question.
|
| Jun 21, 2011 at 20:27 | comment | added | Jack Schmidt | I think by "unital ring" you mean "unital commutative (associative) ring". Otherwise, there are obviously ring homomorphisms. Similarly tr(AB) = tr(BA) requires commutativity (it has counterexamples in every non-commutative ring). Unfortunately, the original question specifically allows matrix rings over non-commutative rings, so this doesn't answer the question. | |
| Jun 21, 2011 at 16:18 | history | edited | Johan Öinert | CC BY-SA 3.0 |
Remarked that the proof holds for higher order Weyl algebras.
|
| Jun 21, 2011 at 16:08 | history | answered | Johan Öinert | CC BY-SA 3.0 |