Free Akivis algebras, primitive elements, and hyperalgebras

Authors

  • Ivan P. Shestakov Instituto de Matemática e Estatística, Universidade de São Paulo
  • Ualbai U. Umirbaev Sobolev Institute of Mathematics

DOI:

https://doi.org/10.11606/resimeusp.v5i2.75046

Keywords:

Akivis algebra, Universal enveloping algebra

Abstract

Free Akivis algebras and primitive elements in their universal enveloping algebras are investigated. The conjecture of K .H . Hofmann and K. Strambach on the structure of primitive elements is proved to be not valid, and a full system of primitive elements in free nonassociative algebra is contructed.

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Issue

Vol. 5 No. 2 (2001)

Section

Contents

How to Cite

Free Akivis algebras, primitive elements, and hyperalgebras. (2014). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 5(2), 149-158. https://doi.org/10.11606/resimeusp.v5i2.75046