| Title:
|
Every uniformly Archimedean atomic MV-effect algebra is sharply dominating (English) |
| Author:
|
Olejček, Vladimír |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
46 |
| Issue:
|
6 |
| Year:
|
2010 |
| Pages:
|
948-952 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Following the study of sharp domination in effect algebras, in particular, in atomic Archimedean MV-effect algebras it is proved that if an atomic MV-effect algebra is uniformly Archimedean then it is sharply dominating. (English) |
| Keyword:
|
lattice effect algebra |
| Keyword:
|
MV-algebra |
| Keyword:
|
sharp element |
| Keyword:
|
sharp domination |
| Keyword:
|
atom |
| Keyword:
|
Euclidean algorithm |
| MSC:
|
03G12 |
| MSC:
|
06D35 |
| MSC:
|
06F25 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 1228.03044 |
| idMR:
|
MR2797419 |
| . |
| Date available:
|
2011-04-12T12:41:17Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141458 |
| . |
| Reference:
|
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| Reference:
|
[2] Foulis, D. J., Bennett, M. K.: Effect algebras and unsharp quantum logics.Found. Phys. 24 (1994), 1325–1346. MR 1304942 |
| Reference:
|
[3] Gudder, S. P.: Sharply dominating effect algebras.Tatra Mt. Math. Publ. 15 (1998), 23–30. Zbl 0939.03073, MR 1655076 |
| Reference:
|
[4] Gudder, S. P.: S-dominating effect algebras.Internat. J. Theor. Phys. 37 (1998), 915–923. Zbl 0932.03072, MR 1624277, 10.1023/A:1026637001130 |
| Reference:
|
[5] Kalina, M., Olejček, M., Paseka, J., Riečanová, Z.: Sharply Dominating MV-Effect Algebras.Internat. J. Theor. Phys. (2010), doi: 10.1007/s10773-010-0338-x |
| Reference:
|
[6] Kôpka, F.: Boolean D-posets as factor spaces.Internat. J. Theor. Phys. 37 (1998), 93–101. MR 1637152, 10.1023/A:1026665306697 |
| Reference:
|
[7] Kôpka, F.: D-posets of fuzzy sets.Tatra Mt. Math. Publ. 1 (1992), 83–87. MR 1230466 |
| Reference:
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[8] Kôpka, F., Chovanec, F.: D-posets.Math. Slovaca 44 (1994), 21–34. MR 1290269 |
| Reference:
|
[9] Riečanová, Z.: Archimedean and block-finite lattice effect algebras.Demonstr. Math. 33 (2000), 443–452. MR 1791464 |
| Reference:
|
[10] Riečanová, Z.: Subdirect Decompositions of Lattice Effect Algebras.Interernat. J. Theor. Phys. 42 (2003), 1415–1423. Zbl 1034.81003, MR 2021221 |
| . |
