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Inversion height in free fields

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Abstract

An element of the free field has aninversion height with respect to the subring of noncommutative polynomials. This inversion height is characterized in terms of the minimal representation of the element. The inversion height of the entries of the inverse of ann byn generic matrix isn.

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Authors and Affiliations

  1. Université du Québec à Montréal, Case Postale 8888, succ. Centre-ville, H3C 3P8, Montréal, Québec, Canada

    C. Reutenauer

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  1. C. Reutenauer
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The author is partially supported by a NSERC grant (Canada).

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Reutenauer, C. Inversion height in free fields. Selecta Mathematica, New Series 2, 93–109 (1996). https://doi.org/10.1007/BF01587940

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  • DOI: https://doi.org/10.1007/BF01587940

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