Back to Search
Start Over
AN ENGEL CONDITION WITH b-GENERALIZED DERIVATIONS IN PRIME RINGS.
- Source :
-
Miskolc Mathematical Notes . 2023, Vol. 24 Issue 2, p819-828. 10p. - Publication Year :
- 2023
-
Abstract
- Let R be a prime ring, I be a nonzero ideal of R, Q be its maximal right ring of quotients and C be its extended centroid. The aim of this paper is to show that if R admits a nonzero b-generalized derivation F such that [F (xm)xn + xnF (xm), xr]k = 0 for all x ∈ I, where m, n, r, k are fixed positive integers, then there exists λ ∈ C such that F (x) = λx unless R ∼= M2(GF(2)), the 2 × 2 matrix ring over the Galois field GF(2) of two elements. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 24
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 170068740
- Full Text :
- https://doi.org/10.18514/MMN.2023.4001