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Displaying similar documents to “Semicanonical basis generators of the cluster algebra of type A 1 ( 1 ) .”

An introduction to finite fibonomial calculus

Ewa Krot (2004)

Open Mathematics

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This is an indicatory presentation of main definitions and theorems of Fibonomial Calculus which is a special case of ψ-extented Rota's finite operator calculus [7].

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...