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Certain functional identities involving a pair of generalized skew derivations with nilpotent values on Lie ideals.
- Source :
- Communications in Algebra; 2023, Vol. 51 Issue 2, p711-723, 13p
- Publication Year :
- 2023
-
Abstract
- Let R be a prime ring of characteristic different from 2, Q<subscript>r</subscript> its right Martindale quotient ring, L a non-central Lie ideal of R (i.e., L , R ≠ 0 ), n ≥ 1 a fixed integer, F and G two generalized skew derivations of R, associated with the same automorphism α of R. If (F (x y) − G (x) y) n = 0 , for any x , y ∈ L , then there exists a ∈ Q r such that , for any x ∈ R , unless when R satisfies the standard polynomial identity s 4 (x 1 , ... , x 4) . [ABSTRACT FROM AUTHOR]
- Subjects :
- QUOTIENT rings
POLYNOMIALS
INTEGERS
AUTOMORPHISMS
GROBNER bases
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 51
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 161311391
- Full Text :
- https://doi.org/10.1080/00927872.2022.2110888