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- W2049560251 abstract "Valuations on a commutative ring, as defined by Manis, are considered in the special case where the domain of the valuation mapping is a ring of quotients of a given ring $R$. We consider relations between valuation mappings on various rings of quotients of a given ring. It is also shown that if $K$ is any von Neumann regular ring of quotients of $R$, then any pair of nonassociates of $R$ can be separated by valuations on $K$ if and only if these elements are nonassociates in the integral closure of $R$ in $K$." @default.
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- W2049560251 date "1974-02-01" @default.
- W2049560251 modified "2023-09-25" @default.
- W2049560251 title "Valuations and rings of quotients" @default.
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- W2049560251 doi "https://doi.org/10.1090/s0002-9939-1974-0347792-2" @default.
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