Malaysian Journal of Mathematical Sciences, May 2020, Vol. 14, No. 2

A Description of Derivations of a Class of Nilpotent Evolution Algebras

Qaralleh, I.

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Received date: 23 March 2019
Accepted date: 10 March 2020

As a system of abstract algebra, evolution algebras are non-associative algebras. There is no deep structure theorem for general non-associative algebra. However, there are deep structure theorem and classification theorem for evolution algebras because it has been introduced concepts of dynamical systems to evolution algebras. In the Mukhamedov et al. (2019), they have been studied some properties of nilpotent evolution algebra E with dim E\(^{2}\)=dim E-1(maximal nilindex). In this paper, we describe derivations of nilpotent finite-dimensional evolution algebras E with dim E\(^{2}\)=dim E-2.

Keywords: Nilpotent , evolution algebra and derivation



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