JP Journal of Algebra, Number Theory and Applications
Volume 45, Issue 2, Pages 121 - 136
(February 2020) http://dx.doi.org/10.17654/NT045020121 |
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DERIVATION OF SOME NILPOTENT EVOLUTION ALGEBRA
Mohammad Zannon
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Abstract: 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 introduced the concepts of dynamical systems to evolution algebras. In this work, we investigate the derivations of n-dimensional nilpotent evolution algebras, depending on the choice of structure matrix. Namely, we choose the structural matrix of constant in particular cases and find the spaces of derivations for nilpotent evolution algebras. Moreover, the space of local and 2-local derivation of such choices described. |
Keywords and phrases: evolution algebra, nilpotent, derivation, local derivation.
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