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A remark on two-dimensional local rings with the property of approximation. (English) Zbl 0485.13007


MSC:

13J15 Henselian rings
13J10 Complete rings, completion
14B12 Local deformation theory, Artin approximation, etc.
13H99 Local rings and semilocal rings
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References:

[1] Artin, M.: Algebraic approximation of structures over complete local rings. Inst. Hautes Études Sci. Publ. Math.36, 23-58 (1969) · Zbl 0181.48802 · doi:10.1007/BF02684596
[2] Kurke, H., Mostowski, T., Pfister, G., Popescu, D., Roczen, M.: Die Approximationseigenschaft lokaler Ringe. Lecture Notes in Mathematics634, Berlin-Heidelberg-New York: Springer 1978 · Zbl 0401.13013
[3] Pfister, G.: On the property of approximation of two dimensional local rings. Bull. Math. Soc. Sci. Math. R.S. Roumanie20, 359-361 (1976) · Zbl 0369.13016
[4] Pfister, G.: Die Approximationseigenschaft lokaler Henselscher Ringe. Habilitationsschriff. Berlin 1976
[5] Popescu, D.: Algebraically pure morphisms. Rev. Roumaine Math. Pures Appl.24, 947-977 (1979) · Zbl 0416.13005
[6] Robinson, A.: Introduction to Model Theory and to the Metamathematics of Algebra. Amsterdam: North-Holland 1963 · Zbl 0118.25302
[7] Roquette, P.: Nonstandard aspects of Hilbert Irreducibility Theorem. In: Model Theory and Algebra (Eds. Saracino, Weispfennig), pp. 231-275 Springer Lecture Notes in Mathematics498 Berlin-Heidelberg-New York: Springer 1975 · Zbl 0316.12103
[8] Rotthaus, C.: Nicht ausgezeichnete, universell japanische Ringe. Math. Z.152, 107-125 (1977) · Zbl 0333.13005 · doi:10.1007/BF01214184
[9] Becker, J., Denef, J., Lipshitz, L., von Dries, L.: Ultraproducts and approximation in local rings I. Invent. Math.51, 183-203 (1979) · Zbl 0416.13004 · doi:10.1007/BF01390228
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