Topological modules over strictly minimal topological rings

Dinamérico Pereira, Jr. Pombo

Commentationes Mathematicae Universitatis Carolinae (2003)

  • Volume: 44, Issue: 3, page 461-467
  • ISSN: 0010-2628

Abstract

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We study the validity of two basic results of the classical theory of topological vector spaces in the context of topological modules.

How to cite

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Pombo, Dinamérico Pereira, Jr.. "Topological modules over strictly minimal topological rings." Commentationes Mathematicae Universitatis Carolinae 44.3 (2003): 461-467. <http://eudml.org/doc/249157>.

@article{Pombo2003,
abstract = {We study the validity of two basic results of the classical theory of topological vector spaces in the context of topological modules.},
author = {Pombo, Dinamérico Pereira, Jr.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {free modules with a finite basis; module topologies; free modules with a finite basis; module topologies},
language = {eng},
number = {3},
pages = {461-467},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Topological modules over strictly minimal topological rings},
url = {http://eudml.org/doc/249157},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Pombo, Dinamérico Pereira, Jr.
TI - Topological modules over strictly minimal topological rings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 3
SP - 461
EP - 467
AB - We study the validity of two basic results of the classical theory of topological vector spaces in the context of topological modules.
LA - eng
KW - free modules with a finite basis; module topologies; free modules with a finite basis; module topologies
UR - http://eudml.org/doc/249157
ER -

References

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  1. Bourbaki N., Algèbre, Chapitre 7, Deuxième Édition, Actualités Scientifiques et Industrielles 1179, Hermann, 1964. Zbl1139.12001MR0194450
  2. Nachbin L., On strictly minimal topological division rings, Bull. Amer. Math. Soc. 55 (1949),1128-1136. (1949) Zbl0037.20002MR0032931
  3. Warner S., Topological Fields, Notas de Matemática 126, North-Holland, 1989. Zbl0683.12014MR1002951

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