Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
10.1016/j.joems.2014.12.011
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.
ur Rehman, N., Raza, M., & Bano, T. (2016). On commutativity of rings with generalized derivations. Journal of the Egyptian Mathematical Society, 24(2), 151-155. doi: 10.1016/j.joems.2014.12.011
MLA
Nadeem ur Rehman; Mohd Arif Raza; Tarannum Bano. "On commutativity of rings with generalized derivations", Journal of the Egyptian Mathematical Society, 24, 2, 2016, 151-155. doi: 10.1016/j.joems.2014.12.011
HARVARD
ur Rehman, N., Raza, M., Bano, T. (2016). 'On commutativity of rings with generalized derivations', Journal of the Egyptian Mathematical Society, 24(2), pp. 151-155. doi: 10.1016/j.joems.2014.12.011
VANCOUVER
ur Rehman, N., Raza, M., Bano, T. On commutativity of rings with generalized derivations. Journal of the Egyptian Mathematical Society, 2016; 24(2): 151-155. doi: 10.1016/j.joems.2014.12.011
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