Author:
Amberg Bernhard,Dickenschied Oliver
Abstract
AbstractThe relations between the adjoint group and the additive group of a radical ring and its nilpotency are investigated. It is shown that certain finiteness conditions carry over from the adjoint group to the additive group and that the converse holds for the class of minimax groups.
Publisher
Canadian Mathematical Society
Cited by
14 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On bi-skew braces and brace blocks;Journal of Pure and Applied Algebra;2023-05
2. Minimal non-BFC rings;Algebra and Discrete Mathematics;2023
3. Torsion subgroups, solvability and the Engel condition in associative rings;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-05-28
4. Associative rings in which nilpotents form an ideal;Studia Scientiarum Mathematicarum Hungarica;2019-06
5. Elementary radical classes;International Electronic Journal of Algebra;2018-01-11