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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 0265414
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1970-0265414-2
PII: S 0002-9939(1970)0265414-2
Keywords: Self-injective ring, quasi-Frobenius ring
Article copyright: © Copyright 1970 American Mathematical Society