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Article

Pombo, Dinamérico P., Jr.
Topological modules over strictly minimal topological rings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 3, pp. 461-467
MSC: 16W80, 46H25 | MR 2025813 | Zbl 1103.46026
Keywords:
free modules with a finite basis; module topologies
Summary:
We study the validity of two basic results of the classical theory of topological vector spaces in the context of topological modules.
References:
[1] Bourbaki N.: Algèbre. Chapitre 7, Deuxième Édition, Actualités Scientifiques et Industrielles 1179, Hermann, 1964. MR 0194450 | Zbl 1139.12001
[2] Nachbin L.: On strictly minimal topological division rings. Bull. Amer. Math. Soc. 55 (1949),1128-1136. MR 0032931 | Zbl 0037.20002
[3] Warner S.: Topological Fields. Notas de Matemática 126, North-Holland, 1989. MR 1002951 | Zbl 0683.12014
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