Torsion subgroups, solvability and the Engel condition in associative rings
Abstract
The connections between the properties of associative rings that are Lie-solvable (Engel, n-Engel, locally finite, respectively) and the properties of their adjoin subgroups are investigated.
- Publication:
-
Revista Real Acad. Ciencias Exact. Fis. Nat. Madrid
- Pub Date:
- July 2022
- DOI:
- arXiv:
- arXiv:2203.07419
- Bibcode:
- 2022RvMad.116..122A
- Keywords:
-
- Engel ring;
- Solvable group;
- Lie nilpotent ring;
- Local ring;
- Derivation Group of unit;
- 20C05;
- 16S34;
- 20F45;
- 20F19;
- 16W25;
- Mathematics - Group Theory;
- Mathematics - Rings and Algebras;
- Mathematics - Representation Theory;
- 20C05;
- 16S34;
- 20F45;
- 20F19;
- 16W25
- E-Print:
- 19 pages