Motivated by Kosan and Lee’s elegant paper and Liu’s systematic works, this article is targeted towards the Engel conditions with X-generalize skew derivations on Lie ideals. Let R be a prime ring of characteristic different from 2, Q r be its right Martindale quotient ring and C be its extended centroid, F an X-generalized skew derivation of R, L a non-central Lie ideal of R. Then, we describe all possible forms of F satisfying the condition (F(u) u] k = 0 for all u ∈ L, where k ≤ 1 is a fixed positive integer. © 2018, © 2018 Taylor & Francis Group, LLC.

An Engel condition with X-generalized skew derivations on Lie ideals

de Filippis;
2018-01-01

Abstract

Motivated by Kosan and Lee’s elegant paper and Liu’s systematic works, this article is targeted towards the Engel conditions with X-generalize skew derivations on Lie ideals. Let R be a prime ring of characteristic different from 2, Q r be its right Martindale quotient ring and C be its extended centroid, F an X-generalized skew derivation of R, L a non-central Lie ideal of R. Then, we describe all possible forms of F satisfying the condition (F(u) u] k = 0 for all u ∈ L, where k ≤ 1 is a fixed positive integer. © 2018, © 2018 Taylor & Francis Group, LLC.
2018
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3140523
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 5
social impact