Some examples of right self-injective rings which are not left self-injective
Author:
F. L. Sandomierski
Journal:
Proc. Amer. Math. Soc. 26 (1970), 244-245
MSC:
Primary 16.90
DOI:
https://doi.org/10.1090/S0002-9939-1970-0265414-2
MathSciNet review:
0265414
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Abstract | References | Similar Articles | Additional Information
Abstract: Endomorphism rings of nonfinitely generated free right $R$-modules over a quasi-Frobenius ring $R$ are right self-injective but not left self-injective.
- Goro Azumaya, Completely faithful modules and self-injective rings, Nagoya Math. J. 27 (1966), 697–708. MR 213389
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- Carl Faith, Rings with ascending condition on annihilators, Nagoya Math. J. 27 (1966), 179–191. MR 193107
- B. L. Osofsky, Cyclic injective modules of full linear rings, Proc. Amer. Math. Soc. 17 (1966), 247–253. MR 190190, DOI https://doi.org/10.1090/S0002-9939-1966-0190190-0
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Additional Information
Keywords:
Self-injective ring,
quasi-Frobenius ring
Article copyright:
© Copyright 1970
American Mathematical Society