Central localizations of regular rings
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- by E. P. Armendariz, Joe W. Fisher and Stuart A. Steinberg PDF
- Proc. Amer. Math. Soc. 46 (1974), 315-321 Request permission
Abstract:
In this paper we show that a ring $R$ is von Neumann regular (or a $V$-ring) if and only if every central localization of $R$ at a maximal ideal of its center is von Neumann regular (or a $V$-ring). Strongly regular rings are characterized by the property that all central localizations at maximal ideals of the center are division rings. Also we consider whether regular PI-rings can be characterized by the property that all central localizations at maximal ideals of the center are simple.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 46 (1974), 315-321
- MSC: Primary 16A30
- DOI: https://doi.org/10.1090/S0002-9939-1974-0352164-0
- MathSciNet review: 0352164