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On the Structure of Linearly Compact Rings and Their Dualities

  • Conference paper
Abelian Groups and Modules

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 287))

Abstract

In this work we study (left) linearly compact (i.e.) rings giving contributions in the following three directions.

  • A theorem of representation of any 1.e. ring as the endo-morphism ring of a module canonically associated to the ring. Then the structure of the module gives useful informations on the structure of the ring.

  • A duality theory which characterizes l.c. rings.

  • The existence of a pair of I.e. rings (the cobasic ring and the basic ring) canonically associated to a given l.c. ring.

This work was partially supported by Ministero della Pubblica Istruzione

While working in this paper, the first author had a grant from italian C.N.R.

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Author information

Authors and Affiliations

  1. Bulgarian Academy of Sciences, Sofia, 1090, Bulgaria

    Dikran Dikranjan

  2. Istituto di Algebra e Geometria, Via Belzoni, 7, 35100, Padova, Italia

    Adalberto Orsatti

Authors
  1. Dikran Dikranjan
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  2. Adalberto Orsatti
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Editor information

Editors and Affiliations

  1. Universität Essen, Germany

    R. Göbel

  2. Universita’ di Padova, Italy

    C. Metelli  & A. Orsatti  & 

  3. Universita’ di Udine, Italy

    L. Salce

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© 1984 Springer-Verlag Wien

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Dikranjan, D., Orsatti, A. (1984). On the Structure of Linearly Compact Rings and Their Dualities. In: Göbel, R., Metelli, C., Orsatti, A., Salce, L. (eds) Abelian Groups and Modules. International Centre for Mechanical Sciences, vol 287. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2814-5_31

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  • DOI: https://doi.org/10.1007/978-3-7091-2814-5_31

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81847-3

  • Online ISBN: 978-3-7091-2814-5

  • eBook Packages: Springer Book Archive

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