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Partially Self-Injective Regular Rings

Published online by Cambridge University Press:  20 November 2018

Andrew B. Carson
Andrew B. Carson*
Affiliation:
University of Saskatchewan, Saskatoon, Canada S7N OWO
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Abstract

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It is proved, for any uncountable cardinal λ, that a λ-complete Boolean ring is λ-self-injective. An example shows that the converse need not hold.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 4 , December 1973, pp. 501 - 505
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Eklof, P. and Sabbagh, G., Model-completions and modules, Ann. Math. Logic 2 (1971), 251–295.Google Scholar
2. Gillman, L. and Jerison, M., Rings of Continuous Functions, Van Nostrand, Princeton N.J., 1960.Google Scholar
3. Jans, J. P., Rings and Homology, Holt, Rinehart, and Winston, New York, 1964.Google Scholar
4. Lambek, J., Lectures on Rings and Modules, Blaisdell, Waltham Mass., 1966.Google Scholar
5. Pierce, R. S., Modules over commutative regular rings, Mem. Amer. Math. Soc. no. 70 (1967).Google Scholar
6. Sikorski, R., Boolean Algebras (second edition) Springer-Verlag, Berlin (1964).Google Scholar