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@article{967844,
author = {Paseka, Jan and Riečanová, Zdenka},
article_location = {Oxford},
article_number = {6},
doi = {http://dx.doi.org/10.1093/logcom/exp018},
keywords = {Non-classical logics; D-posets; effect algebras; MV-algebras; interval and order topology; states; pseudocomplementation},
language = {eng},
issn = {0955-792X},
journal = {Journal of logic and computation},
title = {State smearing theorems and the existence of states on some atomic lattice effect algebras},
url = {http://logcom.oxfordjournals.org/content/21/6/863.full.pdf+html?sid=5b6ae981-3558-4c31-9860-dab7a1e4b713},
volume = {21},
year = {2011}
}
TY - JOUR
ID - 967844
AU - Paseka, Jan - Riečanová, Zdenka
PY - 2011
TI - State smearing theorems and the existence of states on some atomic lattice effect algebras
JF - Journal of logic and computation
VL - 21
IS - 6
SP - 863-882
EP - 863-882
PB - Oxford University Press
SN - 0955792X
KW - Non-classical logics
KW - D-posets
KW - effect algebras
KW - MV-algebras
KW - interval and order topology
KW - states
KW - pseudocomplementation
UR - http://logcom.oxfordjournals.org/content/21/6/863.full.pdf+html?sid=5b6ae981-3558-4c31-9860-dab7a1e4b713
L2 - http://logcom.oxfordjournals.org/content/21/6/863.full.pdf+html?sid=5b6ae981-3558-4c31-9860-dab7a1e4b713
N2 - The existence of states and probabilities on effect algebras as logical structures when events may be non-compatible, unsharp, fuzzy or imprecise is still an open question. Only a few families of effect algebras possessing states are known. We are going to show some families of effect algebras, the existence of a pseudocomplementation on which implies the existence of states. Namely, those are Archimedean atomic lattice effect algebras, which are sharply dominating or s-compactly generated or extendable to complete lattice effect algebras.
ER -
PASEKA, Jan a Zdenka RIEČANOVÁ. State smearing theorems and the existence of states on some atomic lattice effect algebras. \textit{Journal of logic and computation}. Oxford: Oxford University Press, 2011, roč.~21, č.~6, s.~863-882. ISSN~0955-792X. Dostupné z: https://dx.doi.org/10.1093/logcom/exp018.
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