Timeline for Theorems with unexpected conclusions
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Jul 3, 2022 at 7:59 | history | wiki removed | Stefan Kohl♦ | ||
| May 8, 2010 at 2:40 | history | edited | muad | CC BY-SA 2.5 |
(spelling) changed Noncomutative to Noncommutative
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| Apr 26, 2010 at 0:18 | comment | added | José Hdz. Stgo. | You're right about the existence of that result, Pietro. Yet, according to Herstein: "that theorem as proved has one drawback; true enough, it implies commutativity but only very few commutative rings exist which satisfy its hypothesis." | |
| Apr 24, 2010 at 18:19 | comment | added | Pietro | I know of a slightly different theorem by Jacobson. The way you state yours, it sounds like the choice of n has to be uniform across the ring. The one I heard about says that if, for each x, there is an n(x) such that x^n(x) = x, then the ring is commutative. In one aspect this is less general than your version, since we require x^n - x = 0, but on the other hand the absolute freedom in the exponent was very surprising to me. | |
| Apr 24, 2010 at 17:27 | history | edited | José Hdz. Stgo. | CC BY-SA 2.5 |
added 21 characters in body; deleted 8 characters in body; deleted 11 characters in body
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| Apr 24, 2010 at 17:22 | history | answered | José Hdz. Stgo. | CC BY-SA 2.5 |