Geodesic
Generalizations of Hensel's lemma and the nearest root method
Algebra i logika, Tome 50 (2011) no. 6, pp. 701-706 Cet article a éte moissonné depuis la source Math-Net.Ru

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Hensel's lemma and its various modifications, such as, for instance, the Hensel–Rychlik theorem, are important tools for investigating problems of existence of roots of polynomials in valued fields. It is shown that a method proposed in the author's previous papers can also be used to provide a simpler derivation of results by S. Khanduja in [J. Pure Appl. Algebra, 214, No. 12 (2010), 2294–2300].
Keywords: Hensel lemma, valued field, root of polynomial. 
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Yu. L. Ershov. Generalizations of Hensel's lemma and the nearest root method. Algebra i logika, Tome 50 (2011) no. 6, pp. 701-706. http://geodesic.mathdoc.fr/item/AL_2011_50_6_a1/

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