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- W2017007799 abstract "Let H be a Krull monoid with infinite cyclic class group G and let G P ⊂ G denote the set of classes containing prime divisors. We study under which conditions on G P some of the main finiteness properties of factorization theory–such as local tameness, the finiteness and rationality of the elasticity, the structure theorem for sets of lengths, the finiteness of the catenary degree, and the existence of monotone and near monotone chains of factorizations–hold in H . In many cases, we derive explicit characterizations." @default.
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- W2017007799 date "2010-12-01" @default.
- W2017007799 modified "2023-09-26" @default.
- W2017007799 title "On the arithmetic of Krull monoids with infinite cyclic class group" @default.
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- W2017007799 doi "https://doi.org/10.1016/j.jpaa.2010.02.024" @default.
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