Profinite Modules
Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 405-415

Voir la notice de l'article provenant de la source Cambridge University Press

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.
Cohen, Gerard Elie. Profinite Modules. Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 405-415. doi: 10.4153/CMB-1973-064-5
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[1] 1. Bourbaki, N., Topologie générale, Chapitres l et 2, Hermann, Paris, 1965. Google Scholar

[2] 2. Gabriel, P., Des catégories abéliennes, Bull. Soc. Math. France, 90 (1962), 323–448. Google Scholar

[3] 3. Grothendieck, A., Sur quelques points d’algébre homologique, Tôhoku Math. J. 9 (1957), 119–221. Google Scholar

[4] 4. Lambek, J., Completion of categories, Springer lecture notes in Mathematics no. 24, 1966. Google Scholar

[5] 5. Mitchell, B., Theory of categories, Academic Press, New York, 1965. Google Scholar

[6] 6. Zelinsky, D., Linearly compact modules and rings, Amer. J. Math. 75 (1953), 79–90. Google Scholar

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