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On the \(R\)-invariance of \(R[X]\). (English) Zbl 0318.13023


MSC:

13F20 Polynomial rings and ideals; rings of integer-valued polynomials
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References:

[1] S. Abhyankar, P. Eakin, and W. HeinzerJ. Algebra; S. Abhyankar, P. Eakin, and W. HeinzerJ. Algebra · Zbl 0255.13008
[2] Auslander, M.; Buchsbaum, D., Codimension and multiplicity, Amer. J. Math., 68, 625-657 (1958) · Zbl 0092.03902
[3] Chevalley, C., Fundamental Concepts of Algebra (1956), Academic Press: Academic Press New York · Zbl 0074.01502
[4] Kaplansky, I., Commutative Rings (1970), Allyn and Bacon: Allyn and Bacon New York · Zbl 0203.34601
[5] Kaplansky, I., Projective modules, Ann. of Math., 68, 372-377 (1958) · Zbl 0083.25802
[6] Matsumura, H., Commutative Algebra (1970), Benjamin: Benjamin New York · Zbl 0211.06501
[7] D. Mumford; D. Mumford
[8] Nagata, M., Local Rings, (Tracts in Pure and Applied Mathematics, No. 13 (1962), Interscience: Interscience New York) · Zbl 0202.32801
[9] Traverso, C., Seminormality and Picard groups, Pisa Scuola Normale Superiore Annal Ser. 3, 24, 585-595 (1970) · Zbl 0205.50501
[10] Zariski, O.; Samuel, P., (Commutative Algebra, Vol. I (1958), Van Nostrand: Van Nostrand New York) · Zbl 0112.02902
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