@MISC{POLYALG1.MIZ,
  AUTHOR = {Gr\c{a}dzka, Ewa},
  TITLE = {The Algebra of Polynomials},
  NOTE = {This work has been partially supported by CALCULEMUS grant HPRN-CT-2000-00102.},
  ACKNOWLEDGEMENT = {I would like to thank Dr Andrzej Trybulec for his helpful advices on this paper.},
  SECTION1 = {Preliminaries},
  SECTION2 = {The Algebra of Formal Power Series},
  SECTION3 = {The Algebra of Polynomials},
  DAY = {24},
  MONTH = {February},
  YEAR = {2001},
  ADDRESS1 = {University of Bia{\l}ystok},
  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.}}

