Polynomial Identities for Bernstein Algebras of Simple Mendelian Inheritance
The Bernstein algebra D n G α of simple Mendelian inheritance is the n-fold duplicate of the gametic algebra G α with basis A 1 ,..., A α and structure constants . We simplify and generalize results of Bernad et al. and Peresi by showing that every identity for G α follows from Costa's shape id...
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Published in | Communications in algebra Vol. 37; no. 10; pp. 3438 - 3455 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Taylor & Francis Group
09.10.2009
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Subjects | |
Online Access | Get full text |
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Summary: | The Bernstein algebra D
n
G
α
of simple Mendelian inheritance is the n-fold duplicate of the gametic algebra G
α
with basis A
1
,..., A
α
and structure constants
. We simplify and generalize results of Bernad et al. and Peresi by showing that every identity for G
α
follows from Costa's shape identity C, and that every identity for the zygotic algebra DG
α
follows from the recombination identity R. We use computer algebra to determine the identities of degree ≤7 for the copular algebra D
2
G
α
. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0092-7872 1532-4125 |
DOI: | 10.1080/00927870802502886 |