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An algebraic construction of the ring of¶piecewise polynomial functions

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Abstract:

In this note we will prove an algebraic characterization of the piecewiese polynomial functions of a real ℚ-algebra A. This characterization is related to the realm of investigations concerning the Pierce–Birkhoff conjecture.

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  1. Fachbereich Mathematik, Universität Dortmund, D-44221 Dortmund, Germany. e-mail: berr@math.uni-dortmund.de, , , , , , DE

    Ralph Berr

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  1. Ralph Berr
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Received: 23 June 1997 / Revised version: 26 May 1998

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Berr, R. An algebraic construction of the ring of¶piecewise polynomial functions. manuscripta math. 98, 55–63 (1999). https://doi.org/10.1007/s002290050124

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  • DOI: https://doi.org/10.1007/s002290050124

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