Rings with every proper image a principal ideal ring
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- by P. F. Smith PDF
- Proc. Amer. Math. Soc. 81 (1981), 347-352 Request permission
Abstract:
The main result of this paper states that if $R$ is a right Noetherian right bounded prime ring such that nonzero prime ideals are maximal and such that every proper homomorphic image of $R$ is a principal right ideal ring then $R$ is right hereditary.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 347-352
- MSC: Primary 16A04; Secondary 16A12, 16A46, 16A60
- DOI: https://doi.org/10.1090/S0002-9939-1981-0597637-4
- MathSciNet review: 597637