Question
Ted Kaczynski’s first published work was a short proof of this theorem. For 10 points each:
[10h] Name this theorem also proved in chapter six of Proofs from THE BOOK. It states that all finite division rings are fields.
ANSWER: Wedderburn’s little theorem [or Wedderburn’s theorem]
[10e] In fields, multiplication always has this property. The group operation has this property in Abelian groups.
ANSWER: commutative [or commutativity; accept word forms of commute]
[10m] This mathematician also published a proof of Wedderburn’s little theorem. Rings named for this mathematician satisfy the descending chain condition, which is a stronger condition than the ascending chain condition satisfied by Noetherian rings.
ANSWER: Emil Artin [accept Artinian ring or Artin ring]
<Other Science>
Summary
| 2024 ACF Regionals @ Berkeley | 01/27/2024 | Y | 1 | 30.00 | 100% | 100% | 100% |
| 2024 ACF Regionals @ JMU | 01/27/2024 | Y | 1 | 0.00 | 0% | 0% | 0% |
| 2024 ACF Regionals @ JMU | 01/27/2024 | Y | 1 | 20.00 | 100% | 100% | 0% |
| 2024 ACF Regionals @ Nebraska | 01/27/2024 | Y | 6 | 6.67 | 67% | 0% | 0% |
| 2024 ACF Regionals @ Imperial | 01/27/2024 | Y | 8 | 12.50 | 88% | 25% | 13% |
| 2024 ACF Regionals @ Vanderbilt | 01/27/2024 | Y | 1 | 10.00 | 100% | 0% | 0% |
| 2024 ACF Regionals @ MIT | 01/27/2024 | Y | 3 | 10.00 | 100% | 0% | 0% |
Data
| Stanford A | Stanford B | 10 | 10 | 10 | 30 |