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Showing 1 to 2 of 2 for “"Dedekind domain"”.
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Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field
… The work of mathematicians like Kummer and Dedekind lead to the study of a special type of ring, which we now call a Dedekind domain, where even though unique prime factorization of elements may fail, the ideals of a Dedekind domain still enjoy the property of unique prime factorization into …
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Hecke-Algebren zu unimodularen und unitären Matrixgruppen über Dedekind-Ringen
… related to unimodular matrix groups over Dedekind domains and to unitary matrix groups over the ring of integers of an imaginary quadratic number field is being analysed. The first main result of the analysis of the unimodular groups over a Dedekind domain o is a measure formula which in …