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Profinite Modules

Published online by Cambridge University Press:  20 November 2018

Gerard Elie Cohen
Gerard Elie Cohen*
Affiliation:
Sir George Williams University, Montreal Quebec
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An inverse limit of finite groups has been called in the literature a pro-finite group and we have extensive studies of profinite groups from the cohomological point of view by J. P. Serre. The general theory of non-abelian modules has not yet been developed and therefore we consider a generalization of profinite abelian groups. We study inverse systems of discrete finite length R-modules. Profinite modules are inverse limits of discrete finite length R-modules with the inverse limit topology.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 3 , September 1973 , pp. 405 - 415
Copyright
Copyright © Canadian Mathematical Society 1973

References

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