State smearing theorems and the existence of states on some
atomic lattice effect algebras

J 2011

State smearing theorems and the existence of states on some atomic lattice effect algebras

PASEKA, Jan a Zdenka RIEČANOVÁ

Základní údaje

Originální název

State smearing theorems and the existence of states on some atomic lattice effect algebras

Autoři

PASEKA, Jan (203 Česká republika, garant, domácí) a Zdenka RIEČANOVÁ (703 Slovensko)

Vydání

Journal of logic and computation, Oxford, Oxford University Press, 2011, 0955-792X

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 0.611

Kód RIV

RIV/00216224:14310/11:00055103

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1093/logcom/exp018

UT WoS

000297376200001

Klíčová slova anglicky

Non-classical logics; D-posets; effect algebras; MV-algebras; interval and order topology; states; pseudocomplementation

Štítky

AKR, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 10. 4. 2012 08:18, prof. RNDr. Jan Paseka, CSc.

Anotace

V originále

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.

Návaznosti

MSM0021622409, záměr

Název: Matematické struktury a jejich fyzikální aplikace

Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, Matematické struktury a jejich fyzikální aplikace

Citovat

PASEKA, Jan a Zdenka RIEČANOVÁ. State smearing theorems and the existence of states on some atomic lattice effect algebras. 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.

@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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