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Multilinear Equations in Free Inverse Monoids

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Abstract

We prove that finding solutions to the class of single multilinear equations in FIM(A) is decidable; while finding solutions to the class of systems of multilinear equations in FIM(A) is undecidable.

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  1. Department of Mathematics, University of Wisconsin-Platteville, Platteville, WI 53818, USA

    Timothy Michael Deis

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  1. Timothy Michael Deis
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Deis, T. Multilinear Equations in Free Inverse Monoids. Semigroup Forum 73, 194–206 (2006). https://doi.org/10.1007/s00233-006-0625-2

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  • DOI: https://doi.org/10.1007/s00233-006-0625-2

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