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  • The aim of our paper is twofold. First, we thoroughly study the sets of meager and hypermeager elements. Second, we study a common generalization of orthocomplete and lattice effect algebras. We show that every block of an Archimedean homogeneous effect algebra satisfying this generalization is lattice ordered. Hence such effect algebras can be covered by ranges of observables. As a corollary, this yields that every block of a homogeneous orthocomplete effect algebra is lattice ordered. Therefore finite homogeneous effect algebras are covered by MV-algebras. (C) 2012 Elsevier B.V. All rights reserved.
  • The aim of our paper is twofold. First, we thoroughly study the sets of meager and hypermeager elements. Second, we study a common generalization of orthocomplete and lattice effect algebras. We show that every block of an Archimedean homogeneous effect algebra satisfying this generalization is lattice ordered. Hence such effect algebras can be covered by ranges of observables. As a corollary, this yields that every block of a homogeneous orthocomplete effect algebra is lattice ordered. Therefore finite homogeneous effect algebras are covered by MV-algebras. (C) 2012 Elsevier B.V. All rights reserved. (en)
Title
  • Homogeneous orthocomplete effect algebras are covered by MV-algebras
  • Homogeneous orthocomplete effect algebras are covered by MV-algebras (en)
skos:prefLabel
  • Homogeneous orthocomplete effect algebras are covered by MV-algebras
  • Homogeneous orthocomplete effect algebras are covered by MV-algebras (en)
skos:notation
  • RIV/00216224:14310/13:00067637!RIV14-MSM-14310___
http://linked.open...avai/riv/aktivita
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  • P(EE2.3.20.0051)
http://linked.open...iv/cisloPeriodika
  • 1 January 2013
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  • 77992
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  • RIV/00216224:14310/13:00067637
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  • Homogeneous effect algebra; Orthocomplete effect algebra; Lattice effect algebra; Center; Atom; Sharp element; Meager element; Hypermeager element; Ultrameager element (en)
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  • NL - Nizozemsko
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  • [C7B379C21B6C]
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  • FUZZY SETS AND SYSTEMS
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  • 210
http://linked.open...iv/tvurceVysledku
  • Paseka, Jan
  • Niederle, Josef
http://linked.open...ain/vavai/riv/wos
  • 000310662400007
issn
  • 0165-0114
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.fss.2012.07.009
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  • 14310
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