Skip to main content
Log in

Duality and completions of linearly topologized modules

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Boyer, D., Mader, A.: Functorial topologies on abelian groups. Rocky Mountain J. Math.10, 695–708 (1980)

    Google Scholar 

  2. D'Este, G.: The ⊕c-topology on abelian on abelianp-groups. Ann. Scuola Norm. Sup. Pisa Cl. Sci. Ser. 47, 241–256 (1980)

    Google Scholar 

  3. Fuchs, L.: Note on linearly compact abelian groups. J. Austral. Math. Soc.9, 433–440 (1969)

    Google Scholar 

  4. Fuchs, L.: Infinite Abelian Groups I, II. New York-London: Academic Press 1970, 1973

    Google Scholar 

  5. Huber, M.: On reflexive modules and abelian groups. Preprint 1981

  6. Kaplansky, I.: Dual modules over a valuation ring I. Proc. Amer. Math. Soc.4, 213–219 (1953)

    Google Scholar 

  7. Köthe, G.: Topological Vector Spaces I. Berlin-Heidelberg-New York: Springer 1969

    Google Scholar 

  8. Lambek, J.: Torsion Theories, Additive Semantics, and Rings of Quotients. Lecture Notes in Mathematics177. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  9. Lambek, J.: Localization and completion. J. Pure Appl. Algebra2, 343–370 (1972)

    Google Scholar 

  10. Lefschetz, S.: Algebraic Topology. Providence, Rhode Island: American Mathematical Society 1942

    Google Scholar 

  11. Leptin, H.: Linear kompakte Moduln und Ringe — I. Math. Z.62, 241–267 (1955)

    Google Scholar 

  12. Leptin, H.: Linear kompakte Moduln und Ringe — II. Math. Z.66, 289–327 (1957)

    Google Scholar 

  13. MacDonald, I.G.: Duality over complete local rings. Topology1, 213–235 (1962)

    Google Scholar 

  14. Mader, A., Mines, R.: Completions of linearly topologized vector spaces. J. Algebra (to appear)

  15. 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

    Google Scholar 

  16. Prüfer, H.: Theorie der abelschen Gruppen II. Math. Z.22, 222–249 (1925)

    Google Scholar 

  17. Vamos, P.: Classical rings. J. Algebra34, 114–129 (1975)

    Google Scholar 

  18. Zelger, A.: Sul completamento di un gruppo abeliano nella topologia dei sottogruppi di indice finito, Rend. Sem. Mat. Univ. Padova52, 59–69 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01215334

Navigation