Journal of Formalized Mathematics
Volume 13, 2001
University of Bialystok
Copyright (c) 2001 Association of Mizar Users

The Algebra of Polynomials


Ewa Gradzka
University of Bialystok

Summary.

In this paper we define the algebra of formal power series and the algebra of polynomials over an arbitrary field and prove some properties of these structures. We also formulate and prove theorems showing some general properties of sequences. These preliminaries will be used for defining and considering linear functionals on the algebra of polynomials.

This work has been partially supported by CALCULEMUS grant HPRN-CT-2000-00102.

MML Identifier: POLYALG1

The terminology and notation used in this paper have been introduced in the following articles [15] [5] [21] [16] [13] [1] [22] [3] [4] [2] [19] [6] [18] [17] [7] [10] [14] [11] [12] [9] [8] [20]

Contents (PDF format)

  1. Preliminaries
  2. The Algebra of Formal Power Series
  3. The Algebra of Polynomials

Acknowledgments

I would like to thank Dr Andrzej Trybulec for his helpful advices on this paper.

Bibliography

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Received February 24, 2001

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