Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-24T16:20:48.162Z Has data issue: false hasContentIssue false
  • English
  • Français

Mutual Infective Hulls

Published online by Cambridge University Press:  20 November 2018

S. K. Jain ,
S. R. López-Permouth  and
S. Raza Syed
S. K. Jain
Affiliation:
Department of Mathematics, Ohio University, Athens, OH 45701, U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

16D50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 1 , 01 March 1996 , pp. 68 - 73
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), 59–73.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