On Derivations Of Genetic Algebras
Farrukh MukhamedovDepartment of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, Kuantan, Pahang, MalaysiaIzzat QarallehDepartment of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, Kuantan, Pahang, Malaysia
2014en
ABI
Abstract
A genetic algebra is a (possibly non-associative) algebra used to model inheritance in genetics. In application of genetics this algebra often has a basis corresponding to genetically different gametes, and the structure constant of the algebra encode the probabilities of producing offspring of various types. In this paper, we find the connection between the genetic algebras and evolution algebras. Moreover, we prove the existence of nontrivial derivations of genetic algebras in dimension two.
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