Geodesic
Separant of an arbitrary polynomial
Algebra i logika, Tome 53 (2014) no. 6, pp. 704-709
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Let $f$ be a unitary polynomial over $F$. Previously, the concept of a separant of a polynomial $f$ was defined for the case where f has no multiple roots. The notion of a separant turned out to be very useful for generalizations of Hensel's lemma. We propose a generalization of this concept to the case where a polynomial may have multiple roots. This allows us to extend Hensel's lemma to this case as well.
Keywords: separant of polynomial, Hensel's lemma. 
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     author = {Yu. L. Ershov},
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     volume = {53},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2014_53_6_a2/}
}
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Yu. L. Ershov. Separant of an arbitrary polynomial. Algebra i logika, Tome 53 (2014) no. 6, pp. 704-709. http://geodesic.mathdoc.fr/item/AL_2014_53_6_a2/

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