On prolongations of valuations via Newton polygons and liftings of polynomials

Alexandru, 1988, A theorem of characterization of residual transcendental extension of a valuation, J. Math. Kyoto Univ., 28, 579, 10.1215/kjm/1250520346 Alexandru, 1990, Minimal pairs of definition of a residual transcendental extension of a valuation, J. Math. Kyoto Univ., 30, 207, 10.1215/kjm/1250520067 Bhatia, 2004, On extensions generated by roots of lifting polynomials, Mathematika, 49, 107, 10.1112/S0025579300016107 Brown, 2008, Roots of generalized Schönemann polynomials in henselian extension fields, Indian J. Pure Appl. Math., 39, 403 Cohen, 1993 Cohen, 2000, Factorization over local fields and the irreducibility of generalized difference polynomials, Mathematika, 47, 173, 10.1112/S0025579300015801 Engler, 2005 Gúardia, 2012, Newton polygons of higher order in algebraic number theory, Trans. Amer. Math. Soc., 364, 361, 10.1090/S0002-9947-2011-05442-5 Janusz, 1996 Khanduja, 2010, A generalization of Eisenstein-Schö nemann Irreducibility Criterion, Manuscripta Math., 134, 215, 10.1007/s00229-010-0393-x Khanduja, 2007, A generalization of Dedekind criterion, Comm. Algebra, 35, 1479, 10.1080/00927870601168897 Khanduja, 2010, Prolongations of valuations to finite extensions, Manuscripta Math., 131, 323, 10.1007/s00229-009-0320-1 Khanduja, 2012, On irreducible factors of polynomials over complete fields, Journal of Algebra and its Applications Neukirch, 1999 Ohm, 1983, The ruled residue theorem for simple transcendental extensions of valued fields, Proc. Amer. Math. Soc., 89, 16, 10.1090/S0002-9939-1983-0706500-9 Ore, 1928, Newtonsche Polygone in der Theorie der algebraischen Körper, Mathematische Annalen, 99, 84, 10.1007/BF01459087 Popescu, 1995, On the structure of the irreducible polynomials over local fields, J. Number Theory, 52, 98, 10.1006/jnth.1995.1058