Infinite independent systems of the identities of the associative algebra over an infinite field of characteristic $p>0$

Nicolae Ion Sandu

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Two coefficients of the Dyson product.

Lv, Lun, Xin, Guoce, Zhou, Yue (2008)

The Electronic Journal of Combinatorics [electronic only]

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

Sergei Sverchkov (2011)

Open Mathematics

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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...