Free Akivis algebras, primitive elements, and hyperalgebras

Authors

  • Ivan P. Shestakov 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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Published

2001-03-17

Issue

Vol. 5 No. 2 (2001)

Section

Contents

License

Copyright (c) 2001 Ivan P. Shestakov, Ualbai U. Umirbaev

Creative Commons License

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

How to Cite

Free Akivis algebras, primitive elements, and hyperalgebras. (2001). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 5(2), 149-158. https://doi.org/10.11606/resimeusp.v5i2.75046