6 papers · 1 filter
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.
Lie n-multiplicative mapping on Triangular n-Matrix Rings
Bruno Ferreira, Henrique Guzzo
In this paper we extend to triangular n-matrix rings and Lie n-multiplicative map a result about Lie multiplicative maps on triangular algebras due to Xiaofei Qi and Jinchuan Hou.