| Title:
|
Projectability and weak homogeneity of pseudo effect algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
183-196 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we deal with a pseudo effect algebra $\Cal A$ possessing a certain interpolation property. According to a result of Dvurečenskij and Vettterlein, $\Cal A$ can be represented as an interval of a unital partially ordered group $G$. We prove that $\Cal A$ is projectable (strongly projectable) if and only if $G$ is projectable (strongly projectable). An analogous result concerning weak homogeneity of $\Cal A$ and of $G$ is shown to be valid. (English) |
| Keyword:
|
pseudo effect algebra |
| Keyword:
|
unital partially ordered group |
| Keyword:
|
internal direct factor |
| Keyword:
|
polar |
| Keyword:
|
projectability |
| Keyword:
|
strong projectability |
| Keyword:
|
weak homogeneity |
| MSC:
|
06D35 |
| MSC:
|
06F20 |
| idZBL:
|
Zbl 1224.06020 |
| idMR:
|
MR2486624 |
| . |
| Date available:
|
2010-07-20T15:00:09Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140472 |
| . |
| 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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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
