Some examples of right self-injective rings which are not left self-injective
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- by F. L. Sandomierski
- Proc. Amer. Math. Soc. 26 (1970), 244-245
- DOI: https://doi.org/10.1090/S0002-9939-1970-0265414-2
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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.References
- 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 10.1090/S0002-9939-1966-0190190-0
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- 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