| Title:
|
Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements (English) |
| Author:
|
Olejček, Vladimír |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
294-298 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Does there exist an atomic Archimedean lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question is given. (English) |
| Keyword:
|
atomic Archimedean lattice effect algebra |
| Keyword:
|
sharp element |
| MSC:
|
03G12 |
| MSC:
|
06C15 |
| MSC:
|
06D35 |
| MSC:
|
81P10 |
| idMR:
|
MR2954327 |
| . |
| Date available:
|
2012-05-15T16:18:38Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142815 |
| . |
| Reference:
|
[1] A. Dvurečenskij, S. Pulmannová: New trends in Quantum Structures Theory..Kluwer Academic Publications, Dordrecht / Ister Science, Bratislava 2000. MR 1861369 |
| Reference:
|
[2] D. J. Foulis, M. K. Bennett: Effect algebras and unsharp quantum logics..Found. Phys. 24 (1994), 1331-1352. Zbl 1213.06004, MR 1304942, 10.1007/BF02283036 |
| Reference:
|
[3] G. Jenča, Z. Riečanová: On sharp elements in lattice ordered effect algebras..BUSEFAL 80 (1999), 24-29. |
| Reference:
|
[4] F. Kôpka, F. Chovanec: D-posets..Math. Slovaca 44 (1994), 21-34. Zbl 1200.03046, MR 1290269 |
| Reference:
|
[5] V. Olejček: An atomic MV-effect algebra with non-atomic center..Kybernetika 43 (2007), 3, 343-346. Zbl 1149.06006, MR 2362723 |
| Reference:
|
[6] V. Olejček: Uniformly Archimedean MV-effect algebra is sharply dominating..Kybernetika 46 (2010), 6, 948-952. MR 2797419 |
| Reference:
|
[7] Z. Riečanová: Modular atomic effect algebras and the existence of subadditive states..Kybernetika 40 (2004), 4, 459-468. MR 2102364 |
| Reference:
|
[8] Z. Riečanová, I. Marinová, M. Zajac: Some aspects of generalized prelattice effect algebras..In: Lecture Notes in Artificial Intelligence (LNAI) 4342 ``Theory and Application of Relational Structures as Knowledge Instruments II"(H. de Swart et all, eds.), Springer 2006, pp. 290-317. |
| . |
