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Statements

Subject Item
n2:RIV%2F61989592%3A15410%2F03%3A00001424%21RIV%2F2004%2FMSM%2F154104%2FN
rdf:type
n13:Vysledek skos:Concept
dcterms:description
Dually residuated lattice ordered monoids (DRl-monoids) are a generalization of lattice ordered groups embracing also algebras closely related to logic like pseudo MV-algebras (GMV-algebras) or pseudo BL-algebras. In the paper, the concepts of a prime ideal and a polar in a DRl-monoid are established and their basic properties are shown. Since pseudo BL-algebras are in fact the duals of certain bounded DRl-monoids, the analogous properties of pseudo BL-algebras are immediately obtained. Dually residuated lattice ordered monoids (DRl-monoids) are a generalization of lattice ordered groups embracing also algebras closely related to logic like pseudo MV-algebras (GMV-algebras) or pseudo BL-algebras. In the paper, the concepts of a prime ideal and a polar in a DRl-monoid are established and their basic properties are shown. Since pseudo BL-algebras are in fact the duals of certain bounded DRl-monoids, the analogous properties of pseudo BL-algebras are immediately obtained.
dcterms:title
Prime ideals and polars in DRl-monoids and pseudo BL-algebras Prime ideals and polars in DRl-monoids and pseudo BL-algebras
skos:prefLabel
Prime ideals and polars in DRl-monoids and pseudo BL-algebras Prime ideals and polars in DRl-monoids and pseudo BL-algebras
skos:notation
RIV/61989592:15410/03:00001424!RIV/2004/MSM/154104/N
n3:strany
233-246
n3:aktivita
n9:Z
n3:aktivity
Z(MSM 153100011)
n3:cisloPeriodika
3
n3:dodaniDat
n12:2004
n3:domaciTvurceVysledku
n4:2776553
n3:druhVysledku
n14:J
n3:duvernostUdaju
n6:S
n3:entitaPredkladatele
n7:predkladatel
n3:idSjednocenehoVysledku
622971
n3:idVysledku
RIV/61989592:15410/03:00001424
n3:jazykVysledku
n17:eng
n3:klicovaSlova
DRl-monoid, ideal, prime ideal, polar
n3:klicoveSlovo
n8:DRl-monoid n8:polar n8:ideal n8:prime%20ideal
n3:kodStatuVydavatele
SK - Slovenská republika
n3:kontrolniKodProRIV
[4CE414373727]
n3:nazevZdroje
Mathematica Slovaca
n3:obor
n18:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:pocetUcastnikuAkce
0
n3:pocetZahranicnichUcastnikuAkce
0
n3:rokUplatneniVysledku
n12:2003
n3:svazekPeriodika
53
n3:tvurceVysledku
Kühr, Jan
n3:zamer
n10:MSM%20153100011
s:issn
0139-9918
s:numberOfPages
14
n5:organizacniJednotka
15410