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Malcev-admissible algebra

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In algebra, a Malcev-admissible algebra, introduced by Myung (1983), is a (possibly non-associative) algebra that becomes a Malcev algebra under the bracket [a, b] = ab − ba. Examples include alternative algebras, Malcev algebras and Lie-admissible algebras.

See also

References

  • Albert, A. Adrian (1948), "Power-associative rings", Transactions of the American Mathematical Society, 64: 552–593, doi:10.2307/1990399, JSTOR 1990399, MR 0027750
  • "Lie-admissible_algebra", Encyclopedia of Mathematics, EMS Press, 2001 [1994]
  • Myung, Hyo Chul (1980), "Flexible Malʹcev-admissible algebras", Hadronic Journal, 4 (6): 2033–2136, MR 0637500
  • Myung, Hyo Chul (1986), Malcev-admissible algebras, Progress in Mathematics, vol. 64, Boston, MA: Birkhäuser Boston, doi:10.1007/978-1-4899-6661-2, ISBN 0-8176-3345-6, MR 0885089
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