Embeddings of the maximal quotient ring of a von Neumann regular ring into its completion with respect to a rank function
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- by Annie Vogel PDF
- Proc. Amer. Math. Soc. 102 (1988), 480-482 Request permission
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 $\overline {Râ}$.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 480-482
- MSC: Primary 16A30; Secondary 16A08, 16A52
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928964-2
- MathSciNet review: 928964