Structure of semiprime P.I. rings
HTML articles powered by AMS MathViewer
- by Joe W. Fisher
- Proc. Amer. Math. Soc. 39 (1973), 465-467
- DOI: https://doi.org/10.1090/S0002-9939-1973-0320049-0
- PDF | Request permission
Abstract:
In this paper we make an investigation into the structure of semiprime polynomial identity rings which is culminated by showing that each such ring $R$ has a unique maximal left quotient ring $Q$ such that (1) $Q$ is von Neumann regular with unity and (2) every regular element in $R$ is invertible in $Q$.References
- I. N. Herstein and Lance W. Small, Regular elements in $\textrm {P}.\textrm {I}.$-rings, Pacific J. Math. 36 (1971), 327–330. MR 281751
- R. E. Johnson, Quotient rings of rings with zero singular ideal, Pacific J. Math. 11 (1961), 1385–1392. MR 143779
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 465-467
- MSC: Primary 16A12
- DOI: https://doi.org/10.1090/S0002-9939-1973-0320049-0
- MathSciNet review: 0320049