The product of generalized superderivations on a prime superalgebra

Year 2014, Volume: 43 Issue: 6, 1009 - 1015, 01.12.2014

He Yuan Yu Wang

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

References

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