A connection between weak regularity and the simplicity of prime factor rings
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- by Gary F. Birkenmeier, Jin-Yong Kim and Jae Keol Park PDF
- Proc. Amer. Math. Soc. 122 (1994), 53-58 Request permission
Abstract:
In this paper, we show that a reduced ring R is weakly regular (i.e., ${I^2} = I$ for each one-sided ideal I of R) if and only if every prime ideal is maximal. This result extends several well-known results. Moreover, we provide examples which indicate that further generalization of this result is limited.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 53-58
- MSC: Primary 16E50; Secondary 16N40
- DOI: https://doi.org/10.1090/S0002-9939-1994-1231028-7
- MathSciNet review: 1231028