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Remark on Coding in Algebras with Strong Filtration

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Abstract

The way of communication coding using “multiplicative gammation” in algebras with strong filtration is proposed. This class of algebras was introduced earlier by the author for needs of Gröbner–Shirshov bases theory in a wide context. It includes semigroup algebras of ordered semigroups and universal enveloping algebras of Lie algebras, in particular, a polynomial algebra and a free associative algebra.

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Authors and Affiliations

  1. Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119991, Russia

    V. N. Latyshev

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  1. V. N. Latyshev
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Correspondence to V. N. Latyshev.

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Russian Text © V.N. Latyshev, 2019, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2019, Vol. 74, No. 1, pp. 15–21.

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Latyshev, V.N. Remark on Coding in Algebras with Strong Filtration. Moscow Univ. Math. Bull. 74, 14–19 (2019). https://doi.org/10.3103/S0027132219010030

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