- Hacettepe Journal of Mathematics and Statistics
- Vol: 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
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Publication Date : 2014-12-01
Article Type : Research
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 g(x) = ax+d(x) for all x ∈ A, where a is an element of Qmr (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