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A weakening of the Euclidean property for integral domains and applications to algebraic number theory. I. (English) Zbl 0328.13013


MSC:

13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations
11R11 Quadratic extensions
13F15 Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial)
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