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arXiv · 1312.3756

Arithmetical pseudo-valuations associated to Dubrovin valuation rings and prime divisors of bounded Krull domains

Freddy Van Oystaeyen·Nikolaas Verhulst
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Abstract

We look at value functions of primes in simple Artinian rings and associate arithmetical pseudo-valuations to Dubrovin valuation rings which, in the Noetherian case, are $\mathbb{Z}$-valued. This allows a divisor theory for bounded Krull domains.

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Freddy Van Oystaeyen, Nikolaas Verhulst. 2013-12-13. Arithmetical pseudo-valuations associated to Dubrovin valuation rings and prime divisors of bounded Krull domains. https://arxiv.org/abs/1312.3756

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