Abstract:
The way of communication coding using “multiplicative gammation” in algebras with a 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 envelopping algebras of Lie algebras, in particular, the polynomial algebra and free associative algebra.
Key words:multiplicative gammation, algebras with a strong filtration, semigroup algebras of ordered semigroups, universal envelopping algebras of Lie algebras.
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