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Algebra i logika, 2011, Volume 50, Number 6, Pages 701–706 (Mi al512)  
This article is cited in 4 scientific papers (total in 4 papers)

Generalizations of Hensel's lemma and the nearest root method

Yu. L. Ershovab

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (135 kB) Citations (4)
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Abstract: 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.
Received: 06.04.2011
English version:
Algebra and Logic, 2012, Volume 50, Issue 6, Pages 473–477
DOI: https://doi.org/10.1007/s10469-012-9159-8
Bibliographic databases:
Document Type: Article
UDC: 512.623.4
Language: Russian
Citation: Yu. L. Ershov, “Generalizations of Hensel's lemma and the nearest root method”, Algebra Logika, 50:6 (2011), 701–706; Algebra and Logic, 50:6 (2012), 473–477
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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