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Description
  • Let $T$ be an infinite locally finite tree. We say that $T$ has exactly one end, if in $T$ any two one-way infinite paths have a common rest (infinite subpath). The paper describes the structure of such trees and tries to formalize it by algebraic means, namely by means of acyclic monounary algebras or tree semilattices. In these algebraic structures the homomorpisms and direct products are considered and investigated with the aim of swhether they give algebras with the required properties. At the end some further assertions on the structure of such trees are stated, without the algebraic formalization.
  • Let $T$ be an infinite locally finite tree. We say that $T$ has exactly one end, if in $T$ any two one-way infinite paths have a common rest (infinite subpath). The paper describes the structure of such trees and tries to formalize it by algebraic means, namely by means of acyclic monounary algebras or tree semilattices. In these algebraic structures the homomorpisms and direct products are considered and investigated with the aim of swhether they give algebras with the required properties. At the end some further assertions on the structure of such trees are stated, without the algebraic formalization. (en)
Title
  • Algebraic approach to locally finite trees with one end.
  • Algebraic approach to locally finite trees with one end. (en)
skos:prefLabel
  • Algebraic approach to locally finite trees with one end.
  • Algebraic approach to locally finite trees with one end. (en)
skos:notation
  • RIV/46747885:24510/03:00000024!RIV/2004/MSM/245104/N
http://linked.open.../vavai/riv/strany
  • %2237;44%22
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 245100302)
http://linked.open...iv/cisloPeriodika
  • 1
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
  • 597774
http://linked.open...ai/riv/idVysledku
  • RIV/46747885:24510/03:00000024
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • locally finite tree, end, path (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [75D9092BB20F]
http://linked.open...i/riv/nazevZdroje
  • Math. Bohemica
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 128
http://linked.open...iv/tvurceVysledku
  • Zelinka, Bohdan
http://linked.open...n/vavai/riv/zamer
issn
  • 0862-7959
number of pages
http://localhost/t...ganizacniJednotka
  • 24510
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