Timeline for Are commutative alternative rings associative?
Current License: CC BY-SA 3.0
8 events
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| Sep 4, 2011 at 18:56 | history | edited | Gjergji Zaimi | CC BY-SA 3.0 |
added 693 characters in body
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| Sep 4, 2011 at 18:32 | comment | added | Sz_Z | Yes, I want to add that assumption. I need such an alternative ring - if there are any - that is a coordinate ring of a projective plane. | |
| Sep 4, 2011 at 18:17 | comment | added | Gjergji Zaimi | @Zoltan: The Artin-Zorn theorem has the assumption that there are no zero-divisors. In my example there are quite a few zero divisors. Did you want to add that assumption? | |
| Sep 4, 2011 at 17:59 | comment | added | Sz_Z | I have one more question concerning this counterexample. If here $\mathbb F_3$ denotes the Galois field of order 3, then this is a finite alternative ring. But by the Artin-Zorn theorem every finite alternative ring is a field. What have I misunderstood? | |
| Sep 4, 2011 at 0:18 | history | edited | Gjergji Zaimi | CC BY-SA 3.0 |
edited body
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| Sep 4, 2011 at 0:09 | comment | added | Dustin Cartwright | You have $yz = v$ and $yz = -w$. One of these must be a typo. | |
| Sep 3, 2011 at 21:11 | vote | accept | Sz_Z | ||
| Sep 3, 2011 at 21:08 | history | answered | Gjergji Zaimi | CC BY-SA 3.0 |