On power-associative nilalgebras of dimension n and nilindex > n-3

Authors

  • Joseph Bayara Université Nazi BONI
  • Baba Philippe Dakouo Departement de Mathematiques et Informatique, Universite Nazi Boni, Burkina Faso

Keywords:

Albert's problem, power-associative, nilagebras, nilpotency, solvability

Abstract

The present study is about commutative power-associative nilalgebras of dimension n> =5 and nilindex n-3, over a field K. We prove the solvability of such algebras when K is of characteristic 0 or sufficiently large.

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Published

2023-02-18

Issue

Vol. 12 (2023)

Section

Articles

License

Copyright (c) 2023 Annals of Mathematics and Computer Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.