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- W3196340331 abstract "Two finite words u and v are k-binomially equivalent if each word of length at most k appears equally many times in u and v as a subword, or scattered factor. We consider equations in the so-called k-binomial monoid defined by the k-binomial equivalence relation on words. We remark that the k-binomial monoid possesses the compactness property, namely, any system of equations has a finite equivalent subsystem. We further show an upper bound, depending on k and the size of the underlying alphabet, on the number of equations in such a finite subsystem. We further consider commutativity and conjugacy in the k-binomial monoids. We characterise 2-binomial conjugacy and 2-binomial commutativity. We also obtain partial results on k-binomial commutativity for (k > 2)." @default.
- W3196340331 created "2021-09-13" @default.
- W3196340331 creator A5040858119 @default.
- W3196340331 date "2021-01-01" @default.
- W3196340331 modified "2023-09-25" @default.
- W3196340331 title "Equations over the k-Binomial Monoids" @default.
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- W3196340331 doi "https://doi.org/10.1007/978-3-030-85088-3_16" @default.
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