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  • Basic algebras are a generalization of MV-algebras, also including orthomodular lattices and lattice effect algebras. A pre-ideal of a basic algebra is a non-empty subset that is closed under the addition and downwards closed with respect to the underlying order. In this paper, we study the pre-ideal lattices of algebras in a particular subclass of basic algebras which are closer to MV-algebras than basic algebras in general. We also prove that finite members of this subclass are exactly finite MV-algebras.
  • Basic algebras are a generalization of MV-algebras, also including orthomodular lattices and lattice effect algebras. A pre-ideal of a basic algebra is a non-empty subset that is closed under the addition and downwards closed with respect to the underlying order. In this paper, we study the pre-ideal lattices of algebras in a particular subclass of basic algebras which are closer to MV-algebras than basic algebras in general. We also prove that finite members of this subclass are exactly finite MV-algebras. (en)
Title
  • Pre-ideals of basic algebras
  • Pre-ideals of basic algebras (en)
skos:prefLabel
  • Pre-ideals of basic algebras
  • Pre-ideals of basic algebras (en)
skos:notation
  • RIV/61989592:15310/11:33116125!RIV12-MSM-15310___
http://linked.open...avai/predkladatel
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  • S, Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 50
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http://linked.open...aciTvurceVysledku
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  • 222968
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  • RIV/61989592:15310/11:33116125
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  • Basic algebra, pre-ideal, ideal (en)
http://linked.open.../riv/klicoveSlovo
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [B575CFE23DB4]
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  • International Journal of Theoretical Physics
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  • 12
http://linked.open...iv/tvurceVysledku
  • Kühr, Jan
  • Krňávek, Jan
http://linked.open...ain/vavai/riv/wos
  • 000296923500016
http://linked.open...n/vavai/riv/zamer
issn
  • 0020-7748
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10773-011-0928-2
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  • 15310
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