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Remark on Coding in Algebras with Strong Filtration
Moscow University Mathematics Bulletin ( IF 0.2 ) Pub Date : 2019-04-24 , DOI: 10.3103/s0027132219010030
V. N. Latyshev

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.

中文翻译:

关于强滤代数的编码

提出了在具有强滤波性的代数中使用“乘性游戏”进行通信编码的方法。作者在较早的时代就广泛应用Gröbner-Shirshov基础理论而引入了此类代数。它包括有序半群的半群代数和李代数的通用包络代数,特别是多项式代数和自由联想代数。
更新日期:2019-04-24
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