Torsion subgroups, solvability and the Engel condition in associative rings
Orest Artemovych, Victor Bovdi
TL;DR
This paper explores the relationships between certain algebraic properties of associative rings, such as Lie-solvability and Engel conditions, and the characteristics of their associated subgroups.
Contribution
It establishes new links between the Lie-theoretic properties of associative rings and the structure of their adjoin subgroups.
Findings
Connections between Lie-solvability and subgroup properties
Implications of Engel conditions on ring structure
Characterization of associative rings via subgroup behavior
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Finite Group Theory Research · Rings, Modules, and Algebras