| Title:
|
Topological modules over strictly minimal topological rings (English) |
| Author:
|
Pombo, Dinamérico P., Jr. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
461-467 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the validity of two basic results of the classical theory of topological vector spaces in the context of topological modules. (English) |
| Keyword:
|
free modules with a finite basis |
| Keyword:
|
module topologies |
| MSC:
|
16W80 |
| MSC:
|
46H25 |
| idZBL:
|
Zbl 1103.46026 |
| idMR:
|
MR2025813 |
| . |
| Date available:
|
2009-01-08T19:30:28Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119401 |
| . |
| Reference:
|
[1] Bourbaki N.: Algèbre.Chapitre 7, Deuxième Édition, Actualités Scientifiques et Industrielles 1179, Hermann, 1964. Zbl 1139.12001, MR 0194450 |
| Reference:
|
[2] Nachbin L.: On strictly minimal topological division rings.Bull. Amer. Math. Soc. 55 (1949),1128-1136. Zbl 0037.20002, MR 0032931 |
| Reference:
|
[3] Warner S.: Topological Fields.Notas de Matemática 126, North-Holland, 1989. Zbl 0683.12014, MR 1002951 |
| . |
