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- W2054596965 abstract "We interpret the Artin–Rees lemma and the Izumi theorem in term of Artin function and we obtain a stable version of the Artin–Rees lemma. We present different applications of these interpretations. First we show that the Artin function of X1X2−X3X4, as a polynomial in the ring of power series in more than three variables, is not bounded by an affine function. Then we prove that the Artin functions of a class of polynomials are bounded by affine functions and we use this to compute approximated integral closures of ideals." @default.
- W2054596965 created "2016-06-24" @default.
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- W2054596965 date "2006-05-01" @default.
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- W2054596965 title "Lemme d'Artin–Rees, théorème d'Izumi et fonction de Artin" @default.
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- W2054596965 doi "https://doi.org/10.1016/j.jalgebra.2005.06.037" @default.
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