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Applicant:
Indian Institute of Technology (IIT) Patna 
Author:
C. Arusha, S. K. Tiwari  
Corresponding Authors:
S. K. Tiwari 
DOI #:
https://doi.org/10.4134/BKMS.b190429 
Title:
A note on generalized derivations as a Jordan homomorphisms 
Journal:
Bulletin Korean Math. Soc. 
Year:
2020 
Volume:
57 (3) 
Page:
709–737 
Keywords:
Generalized derivations, Jordan homomorphism, multilinear polynomials, Utumi quotient ring, extended centroid 
Abstract:
. Let R be a prime ring of characteristic different from 2. Suppose that F, G, H and T are generalized derivations of R. Let U be the Utumi quotient ring of R and C be the center of U, called the extended centroid of R and let f(x1, . . . , xn) be a non central multilinear polynomial over C. If F(f(r1, . . . , rn))G(f(r1, . . . , rn)) − f(r1, . . . , rn)T(f(r1, . . . , rn)) = H(f(r1, . . . , rn) 2 ) for all r1, . . . , rn ∈ R, then we describe all possible forms of F, G, H and T. 
Entered by:
Venkata Dantham on 2020-08-04 
 
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