Let L be a Lie algebra over a field of positive characteristic and let S (L) and s (L) denote,
respectively, the symmetric Poisson algebra and the truncated symmetric Poisson algebra of …

The paper naturally continues series of works on identical relations of group rings,
enveloping algebras, and other related algebraic structures. Let L be a Lie algebra over a …

Lie solvable restricted enveloping algebras were characterized by Riley and Shalev except
when the ground field is of characteristic 2. We resolve the characteristic 2 case here which …

In this note we study the Lie derived lengths of a restricted enveloping algebra u (L), for a
non-abelian restricted Lie algebra L over a field of positive characteristic p. For p> 2 we …

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 …

LIE STRUCTURE OF SMASH PRODUCTS 1. Introduction Let A be an associative algebra over
a field and regard A as a Lie algebra via t Page 1 LIE STRUCTURE OF SMASH PRODUCTS …

Let L be a non-abelian restricted Lie algebra over a field of characteristic p> 0 and let u (L)
denote its restricted enveloping algebra. In Siciliano (Publ Math (Debr) 68: 503–513, 2006) it …

In this note we analyse the analogy between m-potent and p-central restricted Lie algebras
and p-groups. For restricted Lie algebras the notion of m-potency has stronger implications …

This is a short survey of works on identical relations in group rings, enveloping algebras,
Poisson symmetric algebras and other related algebraic structures. First, the classical work …

Let L be a Lie algebra over a field of positive characteristic. We survey the known results
about the Lie structure of the symmetric Poisson algebra S (L) and the truncated symmetric …