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

100%

Sverchkov S.

Open Mathematics

2011

tom 9

nr 6

1193-1216

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.

Integrations on rings

52%

Banič I.

Open Mathematics

2017

tom 15

nr 1

365-373

In calculus, an indefinite integral of a function f is a differentiable function F whose derivative is equal to f. The main goal of the paper is to generalize this notion of the indefinite integral from the ring of real functions to any ring. We also investigate basic properties of such generalized integrals and compare them to the well-known properties of indefinite integrals of real functions.

Ograniczanie wyników

2 Open Mathematics

1 Banič I.

1 Sverchkov S.

1 2017

1 2011

Wyniki wyszukiwania

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

Integrations on rings