arXiv Analytics

Sign in

arXiv:2210.11849 [math.GR]AbstractReferencesReviewsResources

The theorems on freedom for free sums of Lie algebras with a relations

A. F. Krasnikov

Published 2022-10-21Version 1

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

Comments: in Russian language. arXiv admin note: text overlap with arXiv:2201.12966
Categories: math.GR
Subjects: 17B01
Related articles: Most relevant | Search more
arXiv:2201.12966 [math.GR] (Published 2022-01-31, updated 2022-06-14)
The theorems on freedom for relatively free Lie algebras with a relations
arXiv:2401.01785 [math.GR] (Published 2024-01-03)
5-Engel Lie algebras
arXiv:2101.05648 [math.GR] (Published 2021-01-14)
The theorem on freedom for relatively free groups with a single relation

Links

Toolbox