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  • We denote by Conc(A) the semilattice of all compact congruences of an algebra A. Given a variety V of algebras, we denote by Conc(V) the class of all semilattices isomorphic to Conc(A) for some A in V. Given varieties V and W of algebras, the critical point of V under W, denoted by crit(V,W) is the smallest cardinality of a semilattice that belongs to Conc(V)-Conc(W). Let K and F be finite field such that card K } card F, let A (resp., B) be a vector space of dimension 3 on K (resp., F). Denote by V (resp., W) the variety of lattices generated by the subspace lattice of A (resp., B), then crit(V,W) is aleph 2.
  • We denote by Conc(A) the semilattice of all compact congruences of an algebra A. Given a variety V of algebras, we denote by Conc(V) the class of all semilattices isomorphic to Conc(A) for some A in V. Given varieties V and W of algebras, the critical point of V under W, denoted by crit(V,W) is the smallest cardinality of a semilattice that belongs to Conc(V)-Conc(W). Let K and F be finite field such that card K } card F, let A (resp., B) be a vector space of dimension 3 on K (resp., F). Denote by V (resp., W) the variety of lattices generated by the subspace lattice of A (resp., B), then crit(V,W) is aleph 2. (en)
Title
  • Critical points between varieties generated by subspace lattices of vector spaces
  • Critical points between varieties generated by subspace lattices of vector spaces (en)
skos:prefLabel
  • Critical points between varieties generated by subspace lattices of vector spaces
  • Critical points between varieties generated by subspace lattices of vector spaces (en)
skos:notation
  • RIV/00216208:11320/10:10050568!RIV11-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 214
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Gillibert, Pierre
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 252367
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/10:10050568
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • spaces; vector; lattices; subspace; generated; varieties; between; points; Critical (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [674433AB5655]
http://linked.open...i/riv/nazevZdroje
  • Journal of Pure and Applied Algebra
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2010
http://linked.open...iv/tvurceVysledku
  • Gillibert, Pierre
http://linked.open...ain/vavai/riv/wos
  • 000278924000002
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-4049
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
is http://linked.open...avai/riv/vysledek of
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