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Remark on Coding in Algebras with Strong Filtration

Moscow University Mathematics Bulletin(2019)

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摘要
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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