Dimension formulas for the free nonassociative algebra

Authors

  • Murray R. Bremner University of Saskatchewan
  • Irvin R. Hentzel Iowa State University
  • Luiz A. Peresi Universidade de São Paulo. Instituto de Matemática e Estatística

DOI:

https://doi.org/10.11606/resimeusp.v6i2/3.75250

Abstract

The free nonassociative algebra contains two subspaces closed under both the commutator and the associator: the Akivis elements and the primitive elements. Every Akivis element is primitive, but there are primitive elements which are not Akivis.

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Published

2004-03-17

Issue

Vol. 6 No. 2/3 (2004)

Section

Contents

License

Copyright (c) 2004 Murray R. Bremner, Irvin R. Hentzel, Luiz A. Peresi

Creative Commons License

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

How to Cite

Dimension formulas for the free nonassociative algebra. (2004). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 6(2/3), 141-151. https://doi.org/10.11606/resimeusp.v6i2/3.75250