Type semigroups and factorization problems (Q1196068)

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scientific article; zbMATH DE number 86369
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Type semigroups and factorization problems
scientific article; zbMATH DE number 86369

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    Type semigroups and factorization problems (English)
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    12 January 1993
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    The author presents a general scheme systematizing much of previous investigations [see e.g. the reviewer, Elementary and analytic theory of algebraic numbers (2nd ed.) (Springer 1990; Zbl 0717.11045), and the literature quoted there] dealing with several aspects of non-unique factorization in algebraic number fields. This approach is used to obtain new proofs of old results and several new quantitative results concerning numbers with unique factorization in a given field.
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    Krull semigroups
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    non-unique factorization
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    numbers with unique factorization
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