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On the Quotients of Indecomposable Injective Modules

Published online by Cambridge University Press:  20 November 2018

A.K. Tiwary
A.K. Tiwary*
Affiliation:
McMaster University
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It is well known that Z(p∞) is isomorphic to each of its non-zero homomorphic images [3]. The aim of the present note is to generalize this fact about Z(p∞) to indecomposable infective modules over rings more general than the ring of integers which will include Dedekind domains as a special case.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 2 , June 1966 , pp. 187 - 190
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Banaschewski, B., On Coverings of Modules, Math.Nachr. (to appear).Google Scholar
2. Matlis, E., Injective Modules Over Noetherian Rings, Pacific J. Math., volume 8. (1958), pp. 511-528.Google Scholar
3. Kaplansky, I., Infinite Abelian Groups. University of Michigan Press, (1954).Google Scholar
4. Samuel, P. and Zarisky, O., Commutative Algebra, volume 1, Princeton (1958).Google Scholar