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  • The concepts of an annihilator and a relative annihilator in an autometrized l-algebra are introduced. It is shown that every relative annihilator in a normal autometrized l-algebra A is an ideal of A and every principal ideal of A is an annihilator of A. The set of all annihilators of A forms a complete lattice. The concept of an I-polar is introduced for every ideal I of A. The set of all I-polarsis a complete lattice which becomes a two-element chain provided I is prime.The I-polars are characterized as pseudocomplementsin the lattice of all ideals of A containing I.
  • The concepts of an annihilator and a relative annihilator in an autometrized l-algebra are introduced. It is shown that every relative annihilator in a normal autometrized l-algebra A is an ideal of A and every principal ideal of A is an annihilator of A. The set of all annihilators of A forms a complete lattice. The concept of an I-polar is introduced for every ideal I of A. The set of all I-polarsis a complete lattice which becomes a two-element chain provided I is prime.The I-polars are characterized as pseudocomplementsin the lattice of all ideals of A containing I. (en)
Title
  • Annihilators in normal autometrized algebras
  • Annihilators in normal autometrized algebras (en)
skos:prefLabel
  • Annihilators in normal autometrized algebras
  • Annihilators in normal autometrized algebras (en)
skos:notation
  • RIV/61989592:15310/01:00001294!RIV/2002/MSM/153102/N
http://linked.open.../vavai/riv/strany
  • 111-120
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 153100011)
http://linked.open...iv/cisloPeriodika
  • N
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
  • 673430
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/01:00001294
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • autometrized algebra; annihilator; relative annihilator; ideal, polar (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [7751C88DFA13]
http://linked.open...i/riv/nazevZdroje
  • Czechoslovak Mathematical Journal
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
  • 51
http://linked.open...iv/tvurceVysledku
  • Chajda, Ivan
  • Rachůnek, Jiří
http://linked.open...n/vavai/riv/zamer
issn
  • 0011-4642
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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