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Description
  • The contribution deals with hyperstructure theory. There exists a way of creating semi-hypergroups and hypergroups (or rather transposition hypergroups) from (quasi-) ordered semigroups and groups. Even though it has been widely used by some authors, properties of hyperstructures created in this way have not yet been comprehensively studied. In this contribution their identities and inverses are studied. The last section of the article includes application of the new results on some previous results. It is to be noted that results of this article may be used whenever a hyperstructure is created from a (quasi-) ordered (semi-) groups, which may be the case of differential or transformation operators, preference relations used in economics, matrix theory, etc.
  • The contribution deals with hyperstructure theory. There exists a way of creating semi-hypergroups and hypergroups (or rather transposition hypergroups) from (quasi-) ordered semigroups and groups. Even though it has been widely used by some authors, properties of hyperstructures created in this way have not yet been comprehensively studied. In this contribution their identities and inverses are studied. The last section of the article includes application of the new results on some previous results. It is to be noted that results of this article may be used whenever a hyperstructure is created from a (quasi-) ordered (semi-) groups, which may be the case of differential or transformation operators, preference relations used in economics, matrix theory, etc. (en)
Title
  • Important elements of EL-hyperstructures
  • Important elements of EL-hyperstructures (en)
skos:prefLabel
  • Important elements of EL-hyperstructures
  • Important elements of EL-hyperstructures (en)
skos:notation
  • RIV/00216305:26220/11:PU104789!RIV14-MSM-26220___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021630529)
http://linked.open...iv/cisloPeriodika
  • 4
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
  • 203907
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26220/11:PU104789
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • hyperstructure, identity, inverse, ordered group, quasi-ordered group (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SK - Slovenská republika
http://linked.open...ontrolniKodProRIV
  • [1ABA76FC07EF]
http://linked.open...i/riv/nazevZdroje
  • Journal of Applied Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2011
http://linked.open...iv/tvurceVysledku
  • Novák, Michal
http://linked.open...n/vavai/riv/zamer
issn
  • 1337-6365
number of pages
http://localhost/t...ganizacniJednotka
  • 26220
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