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.
@article{bwmeta1.element.doi-10_2478_s11533-011-0087-y,
author = {Sergei Sverchkov},
title = {The structure and representation of n-ary algebras of DNA recombination},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {1193-1216},
zbl = {1252.17016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0087-y}
}
Sergei Sverchkov. The structure and representation of n-ary algebras of DNA recombination. Open Mathematics, Tome 9 (2011) pp. 1193-1216. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0087-y/
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