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A Note on a Self Injective Ring

Published online by Cambridge University Press:  20 November 2018

M. Satyanarayana
M. Satyanarayana*
Affiliation:
Bowling Green State University, Bowling Green, Ohio
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The purpose of this note is to give a direct proof of Koh's main theorem in [2, p. 31] applying well-known theorems of Faith and Utumi. While doing so, we shall mention a general theorem from which Koh's theorem may be obtained as a corollary.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 2 , June 1971 , pp. 271 - 272
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Faith, C., Lectures on injective modules and quotient rings, Lecture notes in mathematics, No. 49, Springer-Verlag, New York, 1967.Google Scholar
2. Koh, K., A note on a self-injective ring, Canad. Math. Bull. 8 (1965), 29-32.Google Scholar
3. Utumi, Y., On continuous regular rings and semi-simple self-injective rings, Canad. J. Math. 12 (1960), 597-605.Google Scholar