| Title:
|
Archimedean atomic lattice effect algebras in which all sharp elements are central (English) |
| Author:
|
Riečanová, Zdenka |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
42 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
143-150 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that every Archimedean atomic lattice effect algebra the center of which coincides with the set of all sharp elements is isomorphic to a subdirect product of horizontal sums of finite chains, and conversely. We show that every such effect algebra can be densely embedded into a complete effect algebra (its MacNeille completion) and that there exists an order continuous state on it. (English) |
| Keyword:
|
lattice effect algebra |
| Keyword:
|
sharp and central element |
| Keyword:
|
block |
| Keyword:
|
state |
| Keyword:
|
subdirect decomposition |
| Keyword:
|
MacNeille completion |
| MSC:
|
03G10 |
| MSC:
|
03G12 |
| MSC:
|
03G25 |
| MSC:
|
06D35 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 1249.03121 |
| idMR:
|
MR2241781 |
| . |
| Date available:
|
2009-09-24T20:14:48Z |
| Last updated:
|
2015-03-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135705 |
| . |
| 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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| . |
