Abstract
The theory of functional identities is applied to the classification of the third-power-associative products * which can be defined on certain Lie subalgebras A of the matrix algebra M n (F) over a field F such that x*y - y*x = xy - yx for all x, y A, where xy denotes the usual associative product in M n (F) and A is the matrix algebra itself, a Lie ideal, a one-sided ideal, the Lie algebra of skew elements, or the algebra of upper triangular matrices.
Original language | English |
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Pages (from-to) | 5939-5947 |
Number of pages | 9 |
Journal | Journal of Mathematical Sciences |
Volume | 131 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2005 Dec 1 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Mathematics(all)
- Applied Mathematics