Extension of a result of Beachy and Blair
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- by G. B. Desale and K. Varadarajan
- Proc. Amer. Math. Soc. 84 (1982), 335-338
- DOI: https://doi.org/10.1090/S0002-9939-1982-0640225-2
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Abstract:
Let $\alpha :R \to R$ be an automorphism of a ring $R$. If $R$ is an $\alpha$-reduced ring in which every faithful left ideal is cofaithful, then the same is true for the $\alpha$-twisted power series ring ${R^* }[[x]]$.References
- John A. Beachy and William D. Blair, Rings whose faithful left ideals are cofaithful, Pacific J. Math. 58 (1975), no. 1, 1–13. MR 393092
Bibliographic Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 84 (1982), 335-338
- MSC: Primary 16A05
- DOI: https://doi.org/10.1090/S0002-9939-1982-0640225-2
- MathSciNet review: 640225