7 papers
On simple -dimensional Lie algebras in characteristic
Alexander Grishkov, Henrique Guzzo, Marina Rasskazova +1
Motivated by the recent progress towards classification of simple finite-dimensional Lie algebras over an algebraically closed field of characteristic , we investigate such …
Multiplicative Lie-type derivations on alternative rings
Bruno Leonardo Macedo Ferreira, Henrique Guzzo, Feng Wei
Let be an alternative ring containing a nontrivial idempotent and $\D$ be a multiplicative Lie-type derivation from into itself. Under certain assumptions on , we pro…
Generalized Jordan derivations on semiprime rings
Bruno L M Ferreira, Henrique Guzzo, Ruth N. Ferreira
The purpose of this note is to prove the following. Suppose is a semiprime unity ring having an idempotent element e which satisfies mild con…
An approach between the multiplicative and additive structure of a Jordan ring
Bruno Ferreira
Let J and J' be Jordan rings. We prove under some conditions that if J contains a nontrivial idempotent, then n-multiplicative maps and n-multiplicative derivations from J to J' ar…
Lie Maps on Alternative Rings
Bruno Ferreira, Henrique Guzzo
In this paper we study to alternative rings the almost additivity of the Lie multiplicative and Lie triple derivable maps.
Characterization of Lie multiplicative derivation on alternative rings
Bruno Ferreira, Henrique Guzzo
In this paper we generalize the result valid for associative rings due \cite[Martindale III]{Mart} and \cite[Brear]{bresar} to alternative rings. Let be a…