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On interval decomposition lattices

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EN
Abstrakty
EN
Intervals in binary or n-ary relations or other discrete structures generalize the concept of interval in an ordered set. They are defined abstractly as closed sets of a closure system on a set V, satisfying certain axioms. Decompositions are partitions of V whose blocks are intervals, and they form an algebraic semimodular lattice. Lattice-theoretical properties of decompositions are explored, and connections with particular types of intervals are established.
Twórcy
  • Institute of Mathematics, Tampere University of Technology, 33101 Tampere, Finland
  • Institute of Mathematics, University of Miskolc, 3515 Miskolc-Egyetemváros, Hungary
Bibliografia
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Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1078
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