Some algebraic algebras with Engel unit groups.

In this paper, we study some algebras A whose unit groups 𝒰 (A) or subnormal subgroups of 𝒰 (A) are (generalized) Engel. For example, we show that any generalized Engel subnormal subgroup of the multiplicative group of division rings with uncountable centers is central. Some of algebraic structures of Engel subnormal subgroups of the unit groups of skew group algebras over locally finite or torsion groups are also investigated. [ABSTRACT FROM AUTHOR]