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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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