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On finding and cancelling variables in k[X,Y,Z]. (English) Zbl 0411.13011


MSC:

13F20 Polynomial rings and ideals; rings of integer-valued polynomials
13B25 Polynomials over commutative rings
13B10 Morphisms of commutative rings
14A05 Relevant commutative algebra
14J25 Special surfaces
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References:

[1] Abhyankar, S. S.; Eakin, P.; Heinzer, W., On the uniqueness of the coefficient ring in a polynomial ring, J. Algebra, 23, 310-342 (1972) · Zbl 0255.13008
[2] Abhyankar, S. S.; Moh, T. T., Embedding of the line in the plane, J. Reine Angew. Math., 276, 148-166 (1975) · Zbl 0332.14004
[3] H. Bass, E. H. Connell, and D. Wright; H. Bass, E. H. Connell, and D. Wright · Zbl 0362.13005
[4] Eakin, P.; Heinzer, W., A cancellation problem for rings, (Conference on Commutative Algebra. Conference on Commutative Algebra, Lecture Notes in Mathematics No. 311 (1973), Springer-Verlag: Springer-Verlag Berlin/New York), 61-77
[5] Kambayashi, T.; Miyanishi, M., On flat fibrations by the affine line, Illinois J. Math., 22, No. 4, 662-671 (1978) · Zbl 0406.14012
[6] Quillen, D., Protective modules over polynomial rings, Invent. Math., 36, 167-171 (1976) · Zbl 0337.13011
[7] Russell, P., Simple birational extensions of two dimensional affine rational domains, Compositio Math., 33, 197-208 (1976) · Zbl 0342.13003
[8] P. RussellCompositio Math.; P. RussellCompositio Math. · Zbl 0404.13003
[9] Sathaye, A., On linear planes, (Proc. Amer. Math. Soc., 76 (1976)), 1-7 · Zbl 0345.14013
[10] \( \textsc{D. Wright} bT^na\); \( \textsc{D. Wright} bT^na\)
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