Timeline for If $M_n(R)$ and $M_m(R)$ satisfy the same polynomial identities is it true that $m=n$?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| May 13, 2013 at 1:48 | comment | added | Joel David Hamkins | Related question: Does the truth of any statement of real matrix algebra stabilize in sufficiently high dimension? mathoverflow.net/questions/34186/… | |
| May 13, 2013 at 0:55 | history | edited | Thiago | CC BY-SA 3.0 |
I have included the condition "associative" on the ring $R$.
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| May 11, 2013 at 9:17 | answer | added | Pasha Zusmanovich | timeline score: 3 | |
| Dec 18, 2012 at 23:45 | comment | added | Thiago | Ilya Bogdanov, the problem is that we do not know if $M_n(R)$ has a central polynomial. If $R$ is commutative, it is ok, but this is not the case here. | |
| Dec 18, 2012 at 16:31 | comment | added | Ilya Bogdanov | A central polynomial for $M_n(R)$ would fit... | |
| Dec 18, 2012 at 15:31 | comment | added | Mariano Suárez-Álvarez | The A-L theorem actually works for any commutative ring $K$. The very best theorems do not have hypotheses :-) | |
| Dec 18, 2012 at 12:57 | history | asked | Thiago | CC BY-SA 3.0 |