Equations Related to Superderivations on Prime Superalgebras

Authors

  • Ajda Fošner
  • Maja Fošner

DOI:

https://doi.org/10.7146/math.scand.a-19227

Abstract

In this paper we investigate equations related to superderivations on prime superalgebras. We prove the following result. Let D=D0+D1 be a nonzero superderivation on a prime associative superalgebra A satisfying the relations Di(x)[Di(x),x]s=0, [Di(x),x]sDi(x)=0 for all xA, i=0,1. Then one of the following is true: (a) A1=0 and D(A0)Z(A) or (b) D(A0)=0 and A is commutative or (c) D2=0. The research is a generalization of the results in [10] and [4] by using the theory of superalgebras.

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Published

2014-12-03

How to Cite

Fošner, A., & Fošner, M. (2014). Equations Related to Superderivations on Prime Superalgebras. MATHEMATICA SCANDINAVICA, 115(2), 303–319. https://doi.org/10.7146/math.scand.a-19227

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Articles