metabolism 发表于 2025-3-21 17:08:18
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Introductionok place at the Centre de Recerca Matemàtica (CRM) at Barcelona in spring 2008. It gives a survey on the interaction between two, at first glance very disparate areas of mathematics: Non-Unique Factorization Theory (see ) and Additive Group Theory (see [103, 36, 104, 107, 23, 13Muffle 发表于 2025-3-22 11:20:29
The Davenport constant and first precise arithmetical results08, 103]). From the very beginning the investigation of this invariant was related also to arithmetical problems (it is reported in that in 1966 H. Davenport asked for D(.), since it is the largest number of prime ideals occurring in the prime ideal decomposition of an irreducible integer in a把手 发表于 2025-3-22 13:23:12
Inverse zero-sum problems and arithmetical consequencespplications in the theory of non-unique factorizations. In this chapter we discuss the inverse problems associated with the invariants D(.), η(.) and s(.). More precisely, we investigate the structure of sequences of length D(.)−1 (η(.)−1 or s(.)−1, respectively) that do not have a zero-sum subseque把手 发表于 2025-3-22 18:55:41
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