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arXiv · 1403.6430

The finite basis problem for words with at most two non-linear variables

Olga Sapir
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Abstract

Let A be an alphabet and W be a set of words in the free monoid A*. Let S(W) denote the Rees quotient over the ideal of A* consisting of all words that are not subwords of words in W. We call a set of words W finitely based if the monoid S(W) is finitely based. We find a simple algorithm that recognizes finitely based words among words with at most two non-linear variables. We also describe syntactically all hereditary finitely based monoids of the form S(W).

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Olga Sapir. 2014-03-25. The finite basis problem for words with at most two non-linear variables. https://doi.org/10.1007/s00233-016-9799-4

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