| Title:
|
Separable $\aleph_k$-free modules with almost trivial dual (English) |
| Author:
|
Herden, Daniel |
| Author:
|
Pedroza, Héctor Gabriel Salazar |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
57 |
| Issue:
|
1 |
| Year:
|
2016 |
| Pages:
|
7-20 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
An $R$-module $M$ has an almost trivial dual if there are no epimorphisms from $M$ to the free $R$-module of countable infinite rank $R^{(\omega)}$. For every natural number $k>1$, we construct arbitrarily large separable $\aleph_k$-free $R$-modules with almost trivial dual by means of Shelah's Easy Black Box, which is a combinatorial principle provable in ZFC. (English) |
| Keyword:
|
prediction principles |
| Keyword:
|
almost free modules |
| Keyword:
|
dual modules |
| MSC:
|
13B10 |
| MSC:
|
13B35 |
| MSC:
|
13C13 |
| MSC:
|
13J10 |
| MSC:
|
13L05 |
| idZBL:
|
Zbl 06562192 |
| idMR:
|
MR3478335 |
| DOI:
|
10.14712/1213-7243.2015.150 |
| . |
| Date available:
|
2016-04-12T05:00:38Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144911 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
