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What can be expected from a cubic derivation on finite dimensional algebras? (2017)

SpringerOpen

In: Arabian Journal of Mathematics

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Publication Date: 2017-04-18

Description: In this paper, we prove that every rank one cubic derivation on a unital integral domain is identically zero. From this conclusion, under certain conditions, we achieve that the image of a cubic derivation on a commutative algebra is contained in the Jacobson radical of algebra. As the main result of the current study, we prove that every cubic derivation on a finite dimensional algebra, under some circumstances, is identically zero.

Print ISSN: 2193-5343

Electronic ISSN: 2193-5351

Topics: Mathematics

Published by SpringerOpen

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