A note on Hensel’s lemma in several variables
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- by Benji Fisher PDF
- Proc. Amer. Math. Soc. 125 (1997), 3185-3189 Request permission
Abstract:
The standard hypotheses for Hensel’s Lemma in several variables are slightly stronger than necessary, in the case that the Jacobian determinant is not a unit. This paper shows how to weaken the hypotheses for Hensel’s Lemma and some related theorems.References
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- Marvin J. Greenberg, Rational points in Henselian discrete valuation rings, Inst. Hautes Études Sci. Publ. Math. 31 (1966), 59–64. MR 207700
- Michel Raynaud, Anneaux locaux henséliens, Lecture Notes in Mathematics, Vol. 169, Springer-Verlag, Berlin-New York, 1970 (French). MR 0277519
Additional Information
- Benji Fisher
- Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
- Address at time of publication: The Bronx High School of Science, 75 West 205$^{\mathrm {th}}$ Street, Bronx, New York 10468
- Email: benji@math.columbia.edu
- Received by editor(s): May 20, 1996
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3185-3189
- MSC (1991): Primary 13J15; Secondary 13J05, 13B40
- DOI: https://doi.org/10.1090/S0002-9939-97-04112-9
- MathSciNet review: 1422869