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Description
  • We study so called pairwise summable generalized effect algebras and show some conditions under which they are generalized MV-effect algebras. Moreover, we give a necessary and sufficient condition for finite antichains of elements in pairwise summable generalized effect algebras under which they are sets of atoms of sub-generalized effect algebras, which are generalized MV-effect algebras in their own right. Simultaneously, we give counterexamples which show properties of those antichains which are not necessary or sufficient to be atoms of such generalized MV-effect algebras.
  • We study so called pairwise summable generalized effect algebras and show some conditions under which they are generalized MV-effect algebras. Moreover, we give a necessary and sufficient condition for finite antichains of elements in pairwise summable generalized effect algebras under which they are sets of atoms of sub-generalized effect algebras, which are generalized MV-effect algebras in their own right. Simultaneously, we give counterexamples which show properties of those antichains which are not necessary or sufficient to be atoms of such generalized MV-effect algebras. (en)
Title
  • Blocks in Pairwise Summable Generalized Effect Algebras
  • Blocks in Pairwise Summable Generalized Effect Algebras (en)
skos:prefLabel
  • Blocks in Pairwise Summable Generalized Effect Algebras
  • Blocks in Pairwise Summable Generalized Effect Algebras (en)
skos:notation
  • RIV/00216224:14310/14:00076106!RIV15-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, P(EE2.3.20.0051), S, Z(MSM0021622409)
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
  • 5572
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/14:00076106
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • (generalized) effect algebra; MV-effect algebra; summability block; compatibility block; linear operators in Hilbert spaces (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [68EB76A0BDE0]
http://linked.open...i/riv/nazevZdroje
  • Reports on Mathematical Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 73
http://linked.open...iv/tvurceVysledku
  • Riečanová, Zdenka
  • Janda, Jiří
  • Wu, Junde
http://linked.open...ain/vavai/riv/wos
  • 000337198100005
http://linked.open...n/vavai/riv/zamer
issn
  • 0034-4877
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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