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Mutual Infective Hulls

Published online by Cambridge University Press:  20 November 2018

S. K. Jain
Affiliation:
Department of Mathematics, Ohio University, Athens, OH 45701, U.S.A.
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Abstract

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The mutual injective hull of an arbitrary family of modules is constructed. Applications to the calculations of quasi-injective and π-injective hulls of direct sums are given.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1995

References

1. Anderson, F. W. and Fuller, K., Rings and Categories of Modules, Springer- Verlag, NY-Heidelberg, Berlin, (1993).Google Scholar
2. Faith, C., Algebra I: Rings, Modules and Categories, Springer-Verlag, New York, 1974.Google Scholar
3. Goel, V. K. and Jain, S. K., ‘K-injective modules and rings whose cyclic modules are π-injective, Comm. Algebra 6(1978), 5973.Google Scholar
4. Mohamed, S. H. and Mueller, B. J., Continuous and Discrete Modules, London Math. Soc., LN 147, Cambridge University Press, (1990).Google Scholar
5. Wisbauer, R., Foundations of Module and Ring Theory, Gordon and Breach Sc. Pub., Philadelphia-Reading- Paris, (1991).Google Scholar