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.
| Original language | English |
|---|---|
| Article number | 012004 |
| Journal | Journal of Physics: Conference Series |
| Volume | 553 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2013 |
| Externally published | Yes |
| Event | International Conference on Quantum Optics and Quantum Information, icQoQi 2013 - Pahang, Malaysia Duration: Dec 3 2013 → Dec 4 2013 |
ASJC Scopus subject areas
- General Physics and Astronomy