Arithmetical pseudo-valuations associated to Dubrovin valuation rings and prime divisors of bounded Krull domains
classification
🧮 math.RA
keywords
ringsarithmeticalboundeddomainsdubrovinkrullpseudo-valuationsvaluation
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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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