References
Boyer, D., Mader, A.: Functorial topologies on abelian groups. Rocky Mountain J. Math.10, 695–708 (1980)
D'Este, G.: The ⊕c-topology on abelian on abelianp-groups. Ann. Scuola Norm. Sup. Pisa Cl. Sci. Ser. 47, 241–256 (1980)
Fuchs, L.: Note on linearly compact abelian groups. J. Austral. Math. Soc.9, 433–440 (1969)
Fuchs, L.: Infinite Abelian Groups I, II. New York-London: Academic Press 1970, 1973
Huber, M.: On reflexive modules and abelian groups. Preprint 1981
Kaplansky, I.: Dual modules over a valuation ring I. Proc. Amer. Math. Soc.4, 213–219 (1953)
Köthe, G.: Topological Vector Spaces I. Berlin-Heidelberg-New York: Springer 1969
Lambek, J.: Torsion Theories, Additive Semantics, and Rings of Quotients. Lecture Notes in Mathematics177. Berlin-Heidelberg-New York: Springer 1971
Lambek, J.: Localization and completion. J. Pure Appl. Algebra2, 343–370 (1972)
Lefschetz, S.: Algebraic Topology. Providence, Rhode Island: American Mathematical Society 1942
Leptin, H.: Linear kompakte Moduln und Ringe — I. Math. Z.62, 241–267 (1955)
Leptin, H.: Linear kompakte Moduln und Ringe — II. Math. Z.66, 289–327 (1957)
MacDonald, I.G.: Duality over complete local rings. Topology1, 213–235 (1962)
Mader, A., Mines, R.: Completions of linearly topologized vector spaces. J. Algebra (to appear)
Mader, A.: Basic concepts of functorial topologies, Proceedings of the Conference on Abelian Groups (Oberwolfach 1981), pp. 251–271. Berlin-Heidelberg-New York: Springer 1981
Prüfer, H.: Theorie der abelschen Gruppen II. Math. Z.22, 222–249 (1925)
Vamos, P.: Classical rings. J. Algebra34, 114–129 (1975)
Zelger, A.: Sul completamento di un gruppo abeliano nella topologia dei sottogruppi di indice finito, Rend. Sem. Mat. Univ. Padova52, 59–69 (1974)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mader, A. Duality and completions of linearly topologized modules. Math Z 179, 325–335 (1982). https://doi.org/10.1007/BF01215334
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01215334