On Derivations Of Genetic Algebras

International Conference on Quantum Optics and Quantum Information 2013

Mukhamedov, Farrukh^1 ; Qaralleh, Izzat^1

Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, Pahang, Kuantan, Malaysia^1

关键词: Structure constants;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/553/1/012004/pdf
DOI  :  10.1088/1742-6596/553/1/012004

来源: IOP

【 摘 要 】

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.