On commutativity of rings with generalized derivations
By N. Rehman, M. Raza, Tarannum Bano. 2016
91 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/2f962f659b1ce12cd6ac212d82eb87cf8c7efd5a
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- On multiplicative (generalized)-derivations in prime and semiprime rings (2013, background): “For example, we refer the reader to ([1,3–7,11,13,14,20,22,23], where further references can be found).”