Geodesic
Rational functions without poles in a compact set
W. Kucharz1
1 Max-Planck-Institut für Mathematik Vivatsgasse 7 53111 Bonn, Germany and Department of Mathematics and Statistics University of New Mexico Albuquerque, NM 87131-1141, U.S.A.
Colloquium Mathematicum, Tome 106 (2006) no. 1, pp. 119-125 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $X$ be an irreducible nonsingular complex algebraic set and let $K$ be a compact subset of $X$. We study algebraic properties of the ring of rational functions on $X$ without poles in $K$. We give simple necessary conditions for this ring to be a regular ring or a unique factorization domain.
DOI : 10.4064/cm106-1-10
Keywords: irreducible nonsingular complex algebraic set compact subset nbsp study algebraic properties ring rational functions nbsp without poles nbsp simple necessary conditions ring regular ring unique factorization domain

W. Kucharz 1

1 Max-Planck-Institut für Mathematik Vivatsgasse 7 53111 Bonn, Germany and Department of Mathematics and Statistics University of New Mexico Albuquerque, NM 87131-1141, U.S.A. 
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W. Kucharz. Rational functions without poles in a compact set. Colloquium Mathematicum, Tome 106 (2006) no. 1, pp. 119-125. doi: 10.4064/cm106-1-10

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