English

The theorems on freedom for relatively free Lie algebras with a relations

Group Theory 2024-10-01 v7

Abstract

In this paper we prove the theorem on freedom for relatively free Lie algebras with a single relation (analogous with the well-known result of Shirshov) and a generalized Freiheitssatz for relatively free Lie algebras (analogous with the well-known result of Kharlampovich).

Keywords

Cite

@article{arxiv.2201.12966,
  title  = {The theorems on freedom for relatively free Lie algebras with a relations},
  author = {A. F. Krasnikov},
  journal= {arXiv preprint arXiv:2201.12966},
  year   = {2024}
}

Comments

15 pages, in English