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  • We show that to every centred ternary relation T on a set A there can be assigned (in a non-unique way) a ternary operation t on A such that the identities satisfied by (A;t) reflect relational properties of T. We classify ternary operations assigned to centred ternary relations and we show how the concepts of relational subsystems and homomorphisms are connected with subalgebras and homomorphisms of the assigned algebra (A;t). We show that for ternary relations having a non-void median can be derived so-called median-like algebras (A;t) which become median algebras if the median M(a,b,c) is a singleton for all a,b,c in A. Finally, we introduce certain algebras assigned to cyclically ordered sets.
  • We show that to every centred ternary relation T on a set A there can be assigned (in a non-unique way) a ternary operation t on A such that the identities satisfied by (A;t) reflect relational properties of T. We classify ternary operations assigned to centred ternary relations and we show how the concepts of relational subsystems and homomorphisms are connected with subalgebras and homomorphisms of the assigned algebra (A;t). We show that for ternary relations having a non-void median can be derived so-called median-like algebras (A;t) which become median algebras if the median M(a,b,c) is a singleton for all a,b,c in A. Finally, we introduce certain algebras assigned to cyclically ordered sets. (en)
Title
  • Algebras assigned to ternary relations
  • Algebras assigned to ternary relations (en)
skos:prefLabel
  • Algebras assigned to ternary relations
  • Algebras assigned to ternary relations (en)
skos:notation
  • RIV/61989592:15310/13:33145531!RIV14-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(EE2.3.20.0060)
http://linked.open...iv/cisloPeriodika
  • 3
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
  • 60061
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/13:33145531
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • median.; centre; assigned operation; cyclic order; betweenness; Ternary relation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • HU - Maďarsko
http://linked.open...ontrolniKodProRIV
  • [5992B1F2564E]
http://linked.open...i/riv/nazevZdroje
  • Miskolc Mathematical Notes (print)
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 14
http://linked.open...iv/tvurceVysledku
  • Chajda, Ivan
  • Länger, Helmut
  • Kolařík, Miroslav
issn
  • 1787-2405
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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