The product of generalized superderivations on a prime superalgebra

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Hacettepe Journal of Mathematics and Statistics
Volume:43 Issue:6
The product of generalized superderivations on a prime superalgebra

The product of generalized superderivations on a prime superalgebra

Authors : He YUAN, Yu WANG

Pages : 1009-1015

View : 26 | Download : 11

Publication Date : 2014-12-01

Article Type : Research Paper

Abstract :In the paper, we extend the definition of generalized derivations to superalgebras and prove that a generalized superderivation g on a prime superalgebra A is represented as ginsert ignore into journalissuearticles values(x); = ax+dinsert ignore into journalissuearticles values(x); for all x ∈ A, where a is an element of Qmr insert ignore into journalissuearticles values(the maximal right ring of quotients of A); and d is a superderivation on A. Using the result we study two generalized superderivations when their product is also a generalized superderivation on a prime superalgebra A.
Keywords : Generalized derivation, Prime ring, Extended centroid, Generalized superderivation, Superalgebra

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