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 …

Let L be a restricted Lie algebra over a field of positive characteristic. We survey the known
results about the Lie structure of the restricted enveloping algebra u (L) of L. Related results …

Let G be a group and F be a field of characteristic p≥ 0. In this paper we provide some
necessary and sufficient conditions for a twisted group algebra F τ G to satisfies a non-matrix …

Let F be an infinite field and R be an algebraic F-algebra. It is known that if 𝒰 (R), the unit
group of R, satisfies a group identity, then R satisfies a polynomial identity. In this paper …

A NOTE ON THE NILPOTENCY CLASS OF THE UNIT GROUP OF A MODULAR GROUP
ALGEBRA Page 1 A NOTE ON THE NILPOTENCY CLASS OF THE UNIT GROUP OF A …

Let L be a restricted Lie algebra over a field of positive characteristic. We survey the known
results about the Lie structure of the restricted enveloping algebra u (L) of L. Related results …