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

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.

preprint2013arXivOpen access
Freddy Van OystaeyenNikolaas Verhulst
math.RA
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Freddy Van OystaeyenNikolaas Verhulst

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