Polynomial Identities for Bernstein Algebras of Simple Mendelian Inheritance

DOI10.1080/00927870802502886zbMath1223.17025OpenAlexW2073094800MaRDI QIDQ3646330

Murray R. Bremner, Sheldon W. Richards, Yunfeng Piao

Publication date: 20 November 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802502886

zbMATH Keywords

computer algebrapolynomial identitiesBernstein algebras

Mathematics Subject Classification ID

Genetics and epigenetics (92D10) Nonassociative algebras satisfying other identities (17A30) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04) Genetic algebras (17D92)

Related Items (4)

Identités Multilinéaires de Degré 4 pour les Algèbres de Bernstein et de Mutation Non Commutatives ⋮ Invitation to research of new mathematics from biology: Evolution algebras ⋮ Stochastic matrices arising from genetic inheritance ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

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• Polynomial identities of Bernstein algebras of small dimension
• Shape identities in genetic algebras
• Varieties of anticommutative \(n\)-ary algebras
• Mathematical population genetics. I: Theoretical introduction.
• Sur les algèbres de Bernstein d'ordre 2. (On Bernstein algebras of order 2)
• Jordan algebras arising from intermolecular recombination
• Linearizing Quadratic Transformations in Genetic Algebras
• Algebraic structure of genetic inheritance
• XXIII.—Genetic Algebras
• Solution of a Mathematical Problem Connected with the Theory of Heredity

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