Dérivations dans les algèbres gamétiques. II (Q800472)

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scientific article; zbMATH DE number 3875499
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Dérivations dans les algèbres gamétiques. II
scientific article; zbMATH DE number 3875499

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    Dérivations dans les algèbres gamétiques. II (English)
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    1985
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    This note continues the discussion of derivations of gametic algebras [\textit{R. Costa}, On the derivations of gametic algebras for polyploidy with multiple alleles, Bol. Soc. Bras. Mat. 13, No.2, 69-81 (1982), and part I by the same authors and R. Costa, Commun. Algebra 12, 239-243 (1984; Zbl 0534.17010)]. Its main theorem gives the structure of the Lie algebra of derivations of a diploid population with \(n+1\) alleles, and the solvability of this Lie algebra is considered. An interpretation of derivations in genetic terms would be of interest.
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    derivations of gametic algebras
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    multiple alleles
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    Lie algebra of derivations
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    diploid population
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    solvability
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