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- W2077862236 abstract "Let $R$ be a commutative von Neumann regular ring. A pseudorank function on $R$ is characterized by a probability measure on the spectrum of $R$. We exhibit two commutative von Neumann regular rings $R$ and $Râ$ with the same spectrum $S$, and two rank functions $N$ and $Nâ$ on $R$ and $Râ$, corresponding to the same probability measure on $S$, and such that the maximal right quotient ring ${Q_{max }}(R)$ embeds in the $N$-completion $bar R$ of $R$ while ${Q_{max }}(Râ)$ does not embed in $overline {Râ}$." @default.
- W2077862236 created "2016-06-24" @default.
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- W2077862236 date "1988-03-01" @default.
- W2077862236 modified "2023-10-18" @default.
- W2077862236 title "Embeddings of the maximal quotient ring of a von Neumann regular ring into its completion with respect to a rank function" @default.
- W2077862236 cites W1986836209 @default.
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- W2077862236 doi "https://doi.org/10.1090/s0002-9939-1988-0928964-2" @default.
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