-Derivations of -Algebra

Deena Al-Kadi

International Journal of Mathematics and Mathematical Sciences, 2016, vol. 2016, 1-5

Abstract:

We introduce the notion of -derivation as a new derivation of -algebra. For an endomorphism map of any -algebra we show that at least one -derivation of exists. Moreover, for such a map, we show that a self-map of is -derivation of if is an associative medial -algebra. For a medial -algebra , is -derivation of if is an outside -derivation of . Finally, we show that if is the identity endomorphism of then the composition of two -derivations of is a -derivation. Moreover, we give a condition to get a commutative composition.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9276096

DOI: 10.1155/2016/9276096

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