Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements
Kybernetika (2012)
- Volume: 48, Issue: 2, page 294-298
- ISSN: 0023-5954
Access Full Article
top
Abstract
topHow to cite
topOlejček, Vladimír. "Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements." Kybernetika 48.2 (2012): 294-298. <http://eudml.org/doc/246312>.
@article{Olejček2012,
abstract = {Does there exist an atomic Archimedean lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question is given.},
author = {Olejček, Vladimír},
journal = {Kybernetika},
keywords = {atomic Archimedean lattice effect algebra; sharp element; Archimedean effect algebra; lattice effect algebra; MV-algebra; sharp element},
language = {eng},
number = {2},
pages = {294-298},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements},
url = {http://eudml.org/doc/246312},
volume = {48},
year = {2012},
}
TY - JOUR
AU - Olejček, Vladimír
TI - Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements
JO - Kybernetika
PY - 2012
PB - Institute of Information Theory and Automation AS CR
VL - 48
IS - 2
SP - 294
EP - 298
AB - Does there exist an atomic Archimedean lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question is given.
LA - eng
KW - atomic Archimedean lattice effect algebra; sharp element; Archimedean effect algebra; lattice effect algebra; MV-algebra; sharp element
UR - http://eudml.org/doc/246312
ER -
References
top- A. Dvurečenskij, S. Pulmannová, New trends in Quantum Structures Theory., Kluwer Academic Publications, Dordrecht / Ister Science, Bratislava 2000. MR1861369
- D. J. Foulis, M. K. Bennett, 10.1007/BF02283036, Found. Phys. 24 (1994), 1331-1352. Zbl1213.06004MR1304942DOI10.1007/BF02283036
- G. Jenča, Z. Riečanová, On sharp elements in lattice ordered effect algebras., BUSEFAL 80 (1999), 24-29.
- F. Kôpka, F. Chovanec, D-posets., Math. Slovaca 44 (1994), 21-34. Zbl1200.03046MR1290269
- V. Olejček, An atomic MV-effect algebra with non-atomic center., Kybernetika 43 (2007), 3, 343-346. Zbl1149.06006MR2362723
- V. Olejček, Uniformly Archimedean MV-effect algebra is sharply dominating., Kybernetika 46 (2010), 6, 948-952. MR2797419
- Z. Riečanová, Modular atomic effect algebras and the existence of subadditive states., Kybernetika 40 (2004), 4, 459-468. MR2102364
- 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.
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.