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Description
  • Distributive lattices with antitone involutions (distributive basic algebras) are studied. It is proved that in the finite case their underlying lattices are isomorphic to direct products of finite chains, and moreover, under certain natural conditions, they even coincide with finite MV-algebras. Sharp elements in basic algebras satisfying these natural conditions are studied, too.
  • Distributive lattices with antitone involutions (distributive basic algebras) are studied. It is proved that in the finite case their underlying lattices are isomorphic to direct products of finite chains, and moreover, under certain natural conditions, they even coincide with finite MV-algebras. Sharp elements in basic algebras satisfying these natural conditions are studied, too. (en)
Title
  • On (finite) distributive lattices with antitone involutions
  • On (finite) distributive lattices with antitone involutions (en)
skos:prefLabel
  • On (finite) distributive lattices with antitone involutions
  • On (finite) distributive lattices with antitone involutions (en)
skos:notation
  • RIV/61989592:15310/14:33151212!RIV15-MSM-15310___
http://linked.open...avai/riv/aktivita
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  • P(7AMB13AT005), P(EE2.3.20.0051), P(GPP201/11/P346), S
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  • 6
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  • 34283
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  • RIV/61989592:15310/14:33151212
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  • MV-algebra; antitone involution; distributive lattice (en)
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  • DE - Spolková republika Německo
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  • [9A917A2DD5A9]
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  • Soft Computing: a fusion of foundations, methodologies and applications
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  • 18
http://linked.open...iv/tvurceVysledku
  • Botur, Michal
  • Kühr, Jan
http://linked.open...ain/vavai/riv/wos
  • 000336270600001
issn
  • 1432-7643
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00500-013-1205-5
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  • 15310
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