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Prime and composite polynomials. (English) Zbl 0286.12102


MSC:

12E05 Polynomials in general fields (irreducibility, etc.)
12J20 General valuation theory for fields
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References:

[1] Artin, E., Algebraic Numbers and Algebraic Functions (1967), Gordon and Breach: Gordon and Breach New York · Zbl 0194.35301
[2] Crampton, T. H.M; Whaples, G., Additive polynomials II, Trans. A. M. S., 78, 237-252 (1955) · Zbl 0064.03603
[3] Dorey, F., On subfields of finite degree under a function field of genus zero, (Thesis (1969), U. Mass.)
[4] Engstrom, H. T., Polynomial substitutions, Amer. J. Math., 63, 249-255 (1941) · Zbl 0025.10403
[5] Fried, M.; MacRae, R. E., On the invariance of chains of fields, Illinois J. Math., 15, 165-171 (1969) · Zbl 0174.07302
[6] M. Fried; M. Fried · Zbl 0278.12101
[7] Levi, H., Composite polynomials with coefficients in an arbitrary field of characteristic zero, Amer. J. Math., 64, 389-400 (1942) · Zbl 0063.03512
[8] Ore, Oystein, On a special class of polynomials, Trans. A. M. S., 36, 275 (1934), Errata · Zbl 0009.04904
[9] Ritt, J. F., Prime and composite polynomials, Trans. A. M. S., 23, 51-66 (1922) · JFM 48.0079.01
[10] Ritt, J. F., Permutable rational functions, Trans. A. M. S., 25, 399-448 (1923) · JFM 49.0712.02
[11] van der Waerden, B. L., (Modern Algebra, Vol. I (1949), Frederick Ungar Publishing Co.,: Frederick Ungar Publishing Co., New York) · Zbl 0039.00902
[12] Whaples, G., Additive polynomials, Duke Math. J., 21, 55-65 (1954) · Zbl 0055.02603
[13] Zassenhaus, H., The Theory of Groups (1949), Chelsea Publishing Co.,: Chelsea Publishing Co., New York
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