On derivations of genetic algebras
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 vari...
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| Format: | Article |
| Language: | English |
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Institute of Physics Publishing (UK)
2013
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| Online Access: | http://irep.iium.edu.my/40430/ http://irep.iium.edu.my/40430/1/mfiq-JPSC%282014%29.pdf |
| _version_ | 1848781954313355264 |
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| author | Mukhamedov, Farrukh Qaralleh, Izzat |
| author_facet | Mukhamedov, Farrukh Qaralleh, Izzat |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T15:57:46Z |
| format | Article |
| id | iium-40430 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:57:46Z |
| publishDate | 2013 |
| publisher | Institute of Physics Publishing (UK) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-404302015-01-15T07:23:15Z http://irep.iium.edu.my/40430/ On derivations of genetic algebras Mukhamedov, Farrukh Qaralleh, Izzat QA Mathematics 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. Institute of Physics Publishing (UK) 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/40430/1/mfiq-JPSC%282014%29.pdf Mukhamedov, Farrukh and Qaralleh, Izzat (2013) On derivations of genetic algebras. Journal of Physics: Conference Series, 553 (1). pp. 1-11. ISSN 1742-6588 (P), 1742-6596 (O) 10.1088/1742-6596/553/1/012004 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Qaralleh, Izzat On derivations of genetic algebras |
| title | On derivations of genetic algebras |
| title_full | On derivations of genetic algebras |
| title_fullStr | On derivations of genetic algebras |
| title_full_unstemmed | On derivations of genetic algebras |
| title_short | On derivations of genetic algebras |
| title_sort | on derivations of genetic algebras |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/40430/ http://irep.iium.edu.my/40430/ http://irep.iium.edu.my/40430/1/mfiq-JPSC%282014%29.pdf |