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On the Injective Hulls of Cyclic Modules Over Dedekind Domains

Published online by Cambridge University Press:  20 November 2018

B. Banaschewski
B. Banaschewski*
Affiliation:
McMaster University
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As is well known, any module M over a ring possesses injective hulls, i. e., injective essential extensions [3], unique up to isomorphisms which map M identically, but the various proofs for this all require some transfinite arguments and hence provide little indication as to how these hulls may actually be constructed for a given module.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 2 , June 1966 , pp. 183 - 186
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Banaschewski, B., On Coverings of Modules, Math. Nachr. 31 (1966), 57-71.Google Scholar
2. Cartan, H. and Eilenberg, S., Homological Algebra. Princeton, (1956).Google Scholar
3. Eckmann, B. and Schopf, A., Űber injektive Moduln. Archiv der Math. 4, (1953), 75-78.Google Scholar
4. Samuel, P. and Zariski, O., Commutative Algebra. Princeton, (1958).Google Scholar