| Title:
|
An atomic MV-effect algebra with non-atomic center (English) |
| Author:
|
Olejček, Vladimír |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
43 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
343-346 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Does there exist an atomic lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question (and slightly more) is given: An example of an atomic MV-effect algebra with a non-atomic Boolean subalgebra of sharp or central elements is presented. (English) |
| Keyword:
|
lattice effect algebra |
| Keyword:
|
MV-effect algebra |
| Keyword:
|
Archimedean effect algebra |
| Keyword:
|
sharp element |
| Keyword:
|
central element |
| Keyword:
|
atom |
| MSC:
|
03G12 |
| MSC:
|
06C15 |
| MSC:
|
06D35 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 1149.06006 |
| idMR:
|
MR2362723 |
| . |
| Date available:
|
2009-09-24T20:24:22Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135778 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[4] Greechie R. J., Foulis, D., Pulmannová S.: The center of an effect algebra.Order 12 (1995), 91–106 Zbl 0846.03031, MR 1336539 |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[9] Riečanová Z.: Archimedean atomic lattice effect algebras in which all sharp elements are central.Kybernetika 42 (2006), 2, 143–150 MR 2241781 |
| Reference:
|
[10] Riečanová Z., Marinová, I., Zajac M.: Some aspects of generalized prelattice effect algebras.In: Theory and Application of Relational Structures as Knowledge Instruments II (H. de Swart et al., eds., Lecture Notes in Artificial Intelligence 4342), Springer–Verlag, Berlin 2006, pp. 290–317 |
| . |
