Geodesic
A Simple Algorithm for Deciding Primes in K[[x,y]]
Canadian journal of mathematics, Tome 47 (1995) no. 4, pp. 801-816

Voir la notice de l'article provenant de la source Cambridge University Press

The well-known Tschirnhausen transformation, , eliminates the second term of the polynomial xn + axn-l + .... By a mere repeated application of this transformation, one can decide whether a given element of k[[x,y]] is prime (irreducible) or not. Here K is an algebraically closed field of characteristic 0. A generalised version of Hensel's Lemma is developed for the proofs. The entire paper can be understood by undergraduate students.
DOI : 10.4153/CJM-1995-041-9
Mots-clés : 13, 14, 32, 68 
kuo, Tzee Char. A Simple Algorithm for Deciding Primes in K[[x,y]]. Canadian journal of mathematics, Tome 47 (1995) no. 4, pp. 801-816. doi: 10.4153/CJM-1995-041-9
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