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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Main Authors: Mukhamedov, Farrukh, Qaralleh, Izzat
Format: Article
Language:English
Published: Institute of Physics Publishing (UK) 2013
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Online Access:http://irep.iium.edu.my/40430/1/mfiq-JPSC%282014%29.pdf
http://irep.iium.edu.my/40430/
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Qaralleh, Izzat
On derivations of genetic algebras
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.
format Article
author Mukhamedov, Farrukh
Qaralleh, Izzat
author_facet Mukhamedov, Farrukh
Qaralleh, Izzat
author_sort Mukhamedov, Farrukh
title On derivations of genetic algebras
title_short 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_sort on derivations of genetic algebras
publisher Institute of Physics Publishing (UK)
publishDate 2013
url http://irep.iium.edu.my/40430/1/mfiq-JPSC%282014%29.pdf
http://irep.iium.edu.my/40430/
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