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  • 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. (en)
  • 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. (cs)
Title
  • Generalizations of pseudo MV-algebras and generalized pseudo effect algebras
  • Zobecnění pseudo MV-algeber a zobecněné pseudo efektové algebry (cs)
  • Generalizations of pseudo MV-algebras and generalized pseudo effect algebras (en)
skos:prefLabel
  • Generalizations of pseudo MV-algebras and generalized pseudo effect algebras
  • Zobecnění pseudo MV-algeber a zobecněné pseudo efektové algebry (cs)
  • Generalizations of pseudo MV-algebras and generalized pseudo effect algebras (en)
skos:notation
  • RIV/61989592:15310/08:00005628!RIV09-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 369045
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/08:00005628
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Pseudo MV -algebra; DRl-monoid; generalized pseudo effect algebra. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [26850226D26B]
http://linked.open...i/riv/nazevZdroje
  • Czechoslovak Mathematical Journal
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 58
http://linked.open...iv/tvurceVysledku
  • Kühr, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 0011-4642
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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