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arxiv: 1511.08080 · v1 · pith:2PUMHHIAnew · submitted 2015-11-25 · 🧮 math.AC · math.CO· math.NT

Some recent results and open problems on sets of lengths of Krull monoids with finite class group

classification 🧮 math.AC math.COmath.NT
keywords lengthssetsclassfinitegroupkrullmonoidsnotions
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Some of the fundamental notions related to sets of lengths of Krull monoids with finite class group are discussed, and a survey of recent results is given. These include the elasticity and related notions, the set of distances, and the structure theorem for sets of lengths. Several open problems are mentioned.

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