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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F08%3A00005598%21RIV09-MSM-15310___
rdf:type
skos:Concept n10:Vysledek
dcterms:description
Bounded Rl-monoids generalize GMV-algebras, pseudo BL-algebras and Heyting algebras. States on such monoids are analogues of probability measures. The existence of states is connected with the existence of maximal filters which are normal. We prove that every good and normal perfect Rl-monoid, such that the GMV-algebra of its regular elements is symmetric, admits a (unique) state. Ohraničené Rl-monoidy zobecňují GMV-algebry, pseudo BL-algebry a Heytingovy algebry. Stavy na takových monoidech jsou analogie pravděpodobnostních měr. Dokazujeme, že každý dobrý a normální perfektní Rl-monoid, takový, že GMV-algebra jeho regulárních prvků je symetrická, připouští (jediný) stav. Bounded Rl-monoids generalize GMV-algebras, pseudo BL-algebras and Heyting algebras. States on such monoids are analogues of probability measures. The existence of states is connected with the existence of maximal filters which are normal. We prove that every good and normal perfect Rl-monoid, such that the GMV-algebra of its regular elements is symmetric, admits a (unique) state.
dcterms:title
States on perfect bounded Rl-monoids Stavy na perfektních ohraničených Rl-monoidech States on perfect bounded Rl-monoids
skos:prefLabel
Stavy na perfektních ohraničených Rl-monoidech States on perfect bounded Rl-monoids States on perfect bounded Rl-monoids
skos:notation
RIV/61989592:15310/08:00005598!RIV09-MSM-15310___
n3:aktivita
n8:Z
n3:aktivity
Z(MSM6198959214)
n3:dodaniDat
n5:2009
n3:domaciTvurceVysledku
n14:6059597
n3:druhVysledku
n17:D
n3:duvernostUdaju
n6:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
397255
n3:idVysledku
RIV/61989592:15310/08:00005598
n3:jazykVysledku
n18:eng
n3:klicovaSlova
Rl-monoid; residuated lattice; pseudo BL-algebra; pseudo MV-algebra
n3:klicoveSlovo
n9:pseudo%20BL-algebra n9:residuated%20lattice n9:pseudo%20MV-algebra n9:Rl-monoid
n3:kontrolniKodProRIV
[29D73D05783F]
n3:mistoVydani
Klagenfurt
n3:nazevZdroje
Contributions to General Algebra 18
n3:obor
n20:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n5:2008
n3:tvurceVysledku
Rachůnek, Jiří Šalounová, Dana
n3:zamer
n19:MSM6198959214
s:numberOfPages
10
n13:hasPublisher
Verlag J. Heyn
n16:isbn
978-3-7084-0303-8
n11:organizacniJednotka
15310