Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-24T13:45:05.151Z Has data issue: false hasContentIssue false
  • English
  • Français

Profinite Modules

Published online by Cambridge University Press:  20 November 2018

Gerard Elie Cohen
Gerard Elie Cohen*
Affiliation:
Sir George Williams University, Montreal Quebec
Rights & Permissions [Opens in a new window]

Extract

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.

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

1. Bourbaki, N., Topologie générale, Chapitres l et 2, Hermann, Paris, 1965.Google Scholar
2. Gabriel, P., Des catégories abéliennes, Bull. Soc. Math. France, 90 (1962), 323–448.Google Scholar
3. Grothendieck, A., Sur quelques points d’algébre homologique, Tôhoku Math. J. 9 (1957), 119–221.Google Scholar
4. Lambek, J., Completion of categories, Springer lecture notes in Mathematics no. 24, 1966.Google Scholar
5. Mitchell, B., Theory of categories, Academic Press, New York, 1965.Google Scholar
6. Zelinsky, D., Linearly compact modules and rings, Amer. J. Math. 75 (1953), 79–90.Google Scholar