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About Euclidean rings. (English) Zbl 0223.13019


MSC:

13F07 Euclidean rings and generalizations
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References:

[1] Armitage, J. V., Euclid’s algorithm in certain algebraic function fields, (Proc. London Math. Soc., 28 (1957)), 498-509 · Zbl 0079.27304
[2] Armitage, J. V., Euclid’s algorithm in algebraic function fields, J. London Math. Soc., 38, 55-59 (1963) · Zbl 0112.03403
[3] Artin, E., (Lang, S.; Tate, J., Collected Papers (1965), Addison-Wesley: Addison-Wesley Reading, Mass)
[4] Brandis, A., Über die multiplikative Struktur von Körpererweiterungen, Math. Z., 87, 71-73 (1965) · Zbl 0127.26304
[5] Hardy, G. H.; Wright, E. M., An Introduction to the Theory of Numbers (1965), Oxford Univ. Press: Oxford Univ. Press London, Chap. XVI · Zbl 0020.29201
[6] Hasse, H., Acta. Acad. Sci. Fenn. Series A (1952)
[7] Motzkin, Th, On the Euclidean algorithm, Bull. Amer. Math. Soc. (1949) · Zbl 0035.30302
[8] Mao, Tse-Tung; Mao, Tse-Tung
[9] Nagata, M.; Nakayama, T.; Tuzuku, T., On an existence lemma in valuation theory, Nagoya Math. J., 6, 59-62 (1953) · Zbl 0052.03202
[10] Samuel, P., Theorie Algébrique des Nombres (1967), Hermann: Hermann Paris · Zbl 0146.06402
[11] Zariski, O.; Samuel, P., (Commutative Algebra, Vol. I (1958), Van Nostrand: Van Nostrand Princeton, N. J) · Zbl 0112.02902
[12] Bourbaki, N., Algèbre Commutative (1964), Hermann: Hermann Pari · Zbl 0205.34302
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