JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 4, Pages 425 - 444
(August 2017) http://dx.doi.org/10.17654/NT039040425 |
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DERIVATION OF THREE-DIMENSIONAL EVOLUTION ALGEBRA
Abdelwahab Alsarayreh, Izzat Qaralleh and Muhammad Zaini Ahmad
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Abstract: Evolution algebras are not necessarily associative algebras. must be satisfied, where and are two distinct basis elements. Moreover, structural constants of an evolution algebra are given by a quadratic matrix. In this paper, we describe the derivation of three-dimensional solvable and nilpotent evolution algebras and that of the two-dimensional subalgebra of complex evolution algebras. |
Keywords and phrases: solvable evolution algebras, nilpotent evolution algebras, subalgebras. |
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