The structure and representation of <Emphasis Type="Italic">n</Emphasis>-ary algebras of DNA recombination |
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Authors: | Sergei R Sverchkov |
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Institution: | 1.Department of Mathematics,Novosibirsk State University,Novosibirsk,Russia |
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Abstract: | In this paper we investigate the structure and representation of n-ary algebras arising from DNA recombination, where n is a number of DNA segments participating in recombination. Our methods involve a generalization of the Jordan formalization
of observables in quantum mechanics in n-ary splicing algebras. It is proved that every identity satisfied by n-ary DNA recombination, with no restriction on the degree, is a consequence of n-ary commutativity and a single n-ary identity of the degree 3n-2. It solves the well-known open problem in the theory of n-ary intermolecular recombination. |
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