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On skew-commuting generalized skew derivations in prime and semiprime rings.
- Source :
-
Journal of Algebra & Its Applications . Jul2024, Vol. 23 Issue 8, p1-16. 16p. - Publication Year :
- 2024
-
Abstract
- Let R be a noncommutative prime ring of characteristic different from 2 , with right Martindale quotient ring Q r and extended centroid C. Let m , n ≥ 1 be fixed integers and F a nonzero generalized skew derivation of R. In this paper, we investigate the set S = { F (x m) x n + x n F (x m) : x ∈ R } and prove that its left annihilator in R is identically zero. Using the above result, we also study the identity F (x) x n + x n F (x) = 0 for semiprime rings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONCOMMUTATIVE rings
*QUOTIENT rings
*CENTROID
*INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 23
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 178020459
- Full Text :
- https://doi.org/10.1142/S0219498824502116