The structure and representation of n-ary algebras of DNA recombination

• Autorzy: Sergei Sverchkov
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Jordan algebras; Formalization of DNA recombination; Splicing algebras; Special algebras

Kategorie tematyczne

• 17C50: Jordan structures associated with other structures

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 6
• Strony: 1193-1216

Daty

wydano

2011-12-01

online

2011-09-23

Twórcy

autor

Sergei Sverchkov

• Novosibirsk State University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0087-y