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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F01%3A00001294%21RIV%2F2002%2FMSM%2F153102%2FN
rdf:type
n11:Vysledek skos:Concept
dcterms:description
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.
dcterms:title
Annihilators in normal autometrized algebras Annihilators in normal autometrized algebras
skos:prefLabel
Annihilators in normal autometrized algebras Annihilators in normal autometrized algebras
skos:notation
RIV/61989592:15310/01:00001294!RIV/2002/MSM/153102/N
n3:strany
111-120
n3:aktivita
n8:Z
n3:aktivity
Z(MSM 153100011)
n3:cisloPeriodika
N
n3:dodaniDat
n6:2002
n3:domaciTvurceVysledku
n13:6059597 n13:9055819
n3:druhVysledku
n17:J
n3:duvernostUdaju
n4:S
n3:entitaPredkladatele
n7:predkladatel
n3:idSjednocenehoVysledku
673430
n3:idVysledku
RIV/61989592:15310/01:00001294
n3:jazykVysledku
n14:eng
n3:klicovaSlova
autometrized algebra; annihilator; relative annihilator; ideal, polar
n3:klicoveSlovo
n12:relative%20annihilator n12:ideal n12:annihilator n12:polar n12:autometrized%20algebra
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[7751C88DFA13]
n3:nazevZdroje
Czechoslovak Mathematical Journal
n3:obor
n16:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:pocetUcastnikuAkce
0
n3:pocetZahranicnichUcastnikuAkce
0
n3:rokUplatneniVysledku
n6:2001
n3:svazekPeriodika
51
n3:tvurceVysledku
Chajda, Ivan Rachůnek, Jiří
n3:zamer
n15:MSM%20153100011
s:issn
0011-4642
s:numberOfPages
10
n18:organizacniJednotka
15310