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Description
  • The paper is based on the authors' talks given at the 11th IQSA Meeting in Cagliari; it deals with states and state operators (internal states) on basic algebras which are a generalization of MV-algebras and orthomodular lattices, also including lattice effect algebras. On the one hand, the paper is a survey of some previous results on states and state operators on commutative basic algebras, and on the other one, an extension of these results to the much larger class of basic algebras where the addition ? distributes over the lattice meet ?.
  • The paper is based on the authors' talks given at the 11th IQSA Meeting in Cagliari; it deals with states and state operators (internal states) on basic algebras which are a generalization of MV-algebras and orthomodular lattices, also including lattice effect algebras. On the one hand, the paper is a survey of some previous results on states and state operators on commutative basic algebras, and on the other one, an extension of these results to the much larger class of basic algebras where the addition ? distributes over the lattice meet ?. (en)
Title
  • States and state operators on certain basic algebras
  • States and state operators on certain basic algebras (en)
skos:prefLabel
  • States and state operators on certain basic algebras
  • States and state operators on certain basic algebras (en)
skos:notation
  • RIV/61989592:15310/14:33151215!RIV15-MSM-15310___
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  • P(EE2.3.20.0051), P(GPP201/11/P346), S
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  • 10
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  • 47274
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  • RIV/61989592:15310/14:33151215
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  • state operator; state; basic algebra (en)
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  • US - Spojené státy americké
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  • [9304B01BFD34]
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  • International Journal of Theoretical Physics
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  • 53
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  • Botur, Michal
  • Rachůnek, Jiří
  • Kühr, Jan
http://linked.open...ain/vavai/riv/wos
  • 000341500900024
issn
  • 0020-7748
number of pages
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  • 10.1007/s10773-013-1875-x
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  • 15310
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