Infinite homogeneous algebras are anticommutative
Description
Citation
| Title | Infinite homogeneous algebras are anticommutative |
| Author(s) | D. Dokovic, L. Sweet |
| Journal | Proceedings of the American Mathematical Society |
| Date | 1999 |
| Volume | 127 |
| Issue | 11 |
| Start page | 3169 |
| End page | 3174 |
| Abstract | A (non-associative) algebra A, over a field k, is called homogeneous if its automorphism group permutes transitively the one dimensional subspaces of A. Suppose A is a nontrivial finite dimensional homogeneous algebra over an infinite field. Then we prove that x(2) = 0 for all x in A, and so xy = yx for all x; y is an element of A. |
Using APA 6th Edition citation style.
[Page generation failure. The bibliography processor requires a browser with Javascript enabled.]
Times viewed: 104
