@MISC{RING_4.MIZ,
 AUTHOR = {Schwarzweller, Christoph and Korni{\l}owicz, Artur and Rowinska-Schwarzweller, Agnieszka},
 TITLE = {Some Algebraic Properties of Polynomial Rings},
 ADDRESS1 = {Institute of Computer Science, University of Gdansk, Poland},
 ADDRESS2 = {Institute of Informatics, University of Bialystok, Poland},
 ADDRESS3 = {Sopot, Poland},
 SECTION1 = {Preliminaries},
 SECTION2 = {Constant Polynomials},
 SECTION3 = {Monic Polynomials},
 SECTION4 = {The Canonical Homomorphism from $R$ into $R[X]$ },
 SECTION5 = {Units and Irreducible Polynomials},
 SECTION6 = {The Field $F[X]/<p>$ },
 SECTION7 = {Polynomial GCDs},
 DAY = {30},
 MONTH = {June},
 YEAR = {2016},
 SUMMARY = {In this article we extend the algebraic theory of polynomial
   rings. After introducing constant and monic polynomials we
   present the canonical embedding of $R$ into $R[X]$ and deal with
   both unit and irreducible elements. We also define polynomial gcds
   and show that for fields $F$ and irreducible polynomials $p$ the
   field $F[X}\slash<p>$ is isomorphic to the field of polynomials with
   degree smaller than the one of $p$.}}

@BOOK{HH90,
      AUTHOR = {H. Heuser},
      TITLE = {Lehrbuch der Analysis},
      PUBLISHER = {B.G. Teubner Stuttgart},
      YEAR = {1990}}

@BOOK{WE09,
      AUTHOR = {Steven H. Weintraub},
      TITLE = {Galois Theory},
      EDITION = {2},
      PUBLISHER = {Springer Verlag},
      YEAR = {2009}}
