Dimension formulas for the free nonassociative algebra

Authors

  • Murray R. Bremner Research Unit in Algebra and Logic, University of Saskatchewan
  • Irvin R. Hentzel Department of Mathematics, Iowa State University
  • Luiz A. Peresi Instituto de Matemática e Estatística, Universidade de São Paulo

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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Issue

Vol. 6 No. 2/3 (2004)

Section

Contents

How to Cite

Dimension formulas for the free nonassociative algebra. (2014). 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