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On commutativity of rings with generalized derivations.
- Source :
- Journal of the Egyptian Mathematical Society; Apr2016, Vol. 24 Issue 2, p151-155, 5p
- Publication Year :
- 2016
-
Abstract
- Let R be a prime ring, extended centroid C , Utumi quotient ring U , and m, n ≥ 1 are fixed positive integers, F a generalized derivation associated with a nonzero derivation d of R . We study the case when one of the following holds: (i) F ( x ) ∘ m d ( y ) = ( x ∘ y ) n and (ii) ( F ( x ) ∘ d ( y ) ) m = ( x ∘ y ) n , for all x, y in some appropriate subset of R . We also examine the case where R is a semiprime ring. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1110256X
- Volume :
- 24
- Issue :
- 2
- Database :
- Supplemental Index
- Journal :
- Journal of the Egyptian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 114754465
- Full Text :
- https://doi.org/10.1016/j.joems.2014.12.011