X-generalized skew derivations behaving as weak Jordan right η-centralizers in prime rings.

Autor: Abdullah, Ali Ahmed, Khan, Nazim
Předmět:
Zdroj: Communications in Algebra; 2024, Vol. 52 Issue 2, p817-824, 8p
Abstrakt: Consider a prime ring R which is noncommutative with the maximal left ring of quotients of R denoted by Q m l (R) and the extended centroid C. An additive map G : R → Q m l (R) satisfying G (g 2) + η g G (g) ∈ C for all g ∈ R , where η ∈ C is called a weak Jordan right η-centralizer. In this paper, we establish the characterization of weak Jordan right η-centralizers in prime rings. As an application, we describe X-generalized skew derivations which behave like weak Jordan right η-centralizers. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index