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  • We define a new class of pseudo effect algebras, called kite pseudo effect algebras, which is connected with partially ordered groups not necessarily with strong unit. In such a case, starting even with an Abelian po-group, we can obtain a oncommutative pseudo effect algebra. We show how such kite pseudo effect algebras are tied with different types of the Riesz Decomposition Properties. Kites are so-called perfect pseudo effect algebras, and we define conditions when kite pseudo effect algebras have the least non-trivial normal ideal.
  • We define a new class of pseudo effect algebras, called kite pseudo effect algebras, which is connected with partially ordered groups not necessarily with strong unit. In such a case, starting even with an Abelian po-group, we can obtain a oncommutative pseudo effect algebra. We show how such kite pseudo effect algebras are tied with different types of the Riesz Decomposition Properties. Kites are so-called perfect pseudo effect algebras, and we define conditions when kite pseudo effect algebras have the least non-trivial normal ideal. (en)
Title
  • Kite pseudo effect algebras
  • Kite pseudo effect algebras (en)
skos:prefLabel
  • Kite pseudo effect algebras
  • Kite pseudo effect algebras (en)
skos:notation
  • RIV/61989592:15310/13:33146350!RIV14-MSM-15310___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • O
http://linked.open...iv/cisloPeriodika
  • 43
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
  • 82680
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/13:33146350
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Perfect pseudo effect algebra; Normal ideal; algebra; Kite pseudo effect; Lexicographic product; Riesz Decomposition Property; Strong unit; Po-group; group; Pseudo effect algebra; Pseudo MV-algebra (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [A3AB1FB6D055]
http://linked.open...i/riv/nazevZdroje
  • Foundations of Physics
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http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2013
http://linked.open...iv/tvurceVysledku
  • Dvurečenskij, Anatolij
http://linked.open...ain/vavai/riv/wos
  • 000326398300004
issn
  • 0015-9018
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10701-013-9748-y
http://localhost/t...ganizacniJednotka
  • 15310
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