Polynomial ring in two variables over a D.V.R.: A criterion

1. Abhyankar, S.S., Eakin, P., Heinzer, W.: On the uniqueness of the coefficient ring in a polynomial ring. J. Algebra32, 310–342 (1972)

   Google Scholar 

2. Abhyankar, S.S., Moh, T.T.: Embedding of the line in the plane. J Reine Angew. Math.276, 148–166 (1975)

   Google Scholar 

3. Dolgachev, I.V., Wiesfeiler, B.: Unipotent group schemes over integral rings. English translation of Izv. Akad. Nauk SSSR, Ser. Mat. Tom.38, 757–799 (1974)

   Google Scholar 

4. Eakin, P., Heinzer, W.: A cancellation problem for rings, Conference in commutative algebra, pp. 61–77, Lecture Notes in Math, Vol. 311. Berlin-Heidelberg-New York: Springer (1973)

   Google Scholar 

5. Kambayashi, T.: On one parameter family of affine planes. Invent. Math.52, 275–281 (1979)

   Google Scholar 

6. Kambayashi, T., Miyanishi, M.: On flat fibrations by the affine line. Ill. J. Math.22, (no. 4) 662–671 (1978)

   Google Scholar 

7. Miyanishi, M.: Algebro-topological characterization of the affine space of dimension 3, preprint

8. Russell, K.P., Sathaye, A.: On finding and cancelling variables ink[X, Y, Z]. J. Algebra57, (No. 1), 151–166 (1979)

   Google Scholar 

9. Sathaye, A.: Generalized Newton-Puiseux expansions and Abhyankar-Moh semigroup theorem. Invent. math.74, 149–157 (1983)

   Google Scholar 

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