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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F08%3A00005628%21RIV09-MSM-15310___
rdf:type
skos:Concept n14:Vysledek
dcterms:description
Jsou zkoumány duálně reziduované svazy, které zobecňují pseudo MV-algebry tak, že každý hlavní ideál je pseudo MV-algebra. Je popsán vztah mezi těmito zobecněnými pseudo MV-algebrami a tzv. zobecněnými pseudo efektovými algebrami. Dále je dokázáno, že svaz (normálních) ideálů je izomorfní se svazem (normálních) konvexních l-podgrup některé l-grupy. Dually residuated lattices that generalize pseudo MV -algebras in such a way that every principal order-ideal is a pseudo MV -algebra are studied. The connections of these generalized pseudo MV -algebras to generalized pseudo effect algebras are described. It is proved that the lattice of all (normal) ideals is isomorphic to the lattice of all (normal) convex l-subgroups of an l-group. Dually residuated lattices that generalize pseudo MV -algebras in such a way that every principal order-ideal is a pseudo MV -algebra are studied. The connections of these generalized pseudo MV -algebras to generalized pseudo effect algebras are described. It is proved that the lattice of all (normal) ideals is isomorphic to the lattice of all (normal) convex l-subgroups of an l-group.
dcterms:title
Generalizations of pseudo MV-algebras and generalized pseudo effect algebras Zobecnění pseudo MV-algeber a zobecněné pseudo efektové algebry Generalizations of pseudo MV-algebras and generalized pseudo effect algebras
skos:prefLabel
Generalizations of pseudo MV-algebras and generalized pseudo effect algebras Generalizations of pseudo MV-algebras and generalized pseudo effect algebras Zobecnění pseudo MV-algeber a zobecněné pseudo efektové algebry
skos:notation
RIV/61989592:15310/08:00005628!RIV09-MSM-15310___
n3:aktivita
n18:Z
n3:aktivity
Z(MSM6198959214)
n3:cisloPeriodika
2
n3:dodaniDat
n11:2009
n3:domaciTvurceVysledku
n17:2776553
n3:druhVysledku
n8:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
369045
n3:idVysledku
RIV/61989592:15310/08:00005628
n3:jazykVysledku
n12:eng
n3:klicovaSlova
Pseudo MV -algebra; DRl-monoid; generalized pseudo effect algebra.
n3:klicoveSlovo
n5:Pseudo%20MV%20-algebra n5:DRl-monoid n5:generalized%20pseudo%20effect%20algebra.
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[26850226D26B]
n3:nazevZdroje
Czechoslovak Mathematical Journal
n3:obor
n7:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n11:2008
n3:svazekPeriodika
58
n3:tvurceVysledku
Kühr, Jan
n3:zamer
n10:MSM6198959214
s:issn
0011-4642
s:numberOfPages
21
n9:organizacniJednotka
15310