Pseudo-rank functions on certain lattices

Pseudo-rank functions on certain lattices

Pseudo-rank functions on bounded lattices are introduced and their properties are studied. It is shown that if the set of all pseudo-rank functions on a Boolean lattice is nonempty then it is a Choquet simplex.

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Veröffentlicht in:Mathematica Slovaca 2009-12, Vol.59 (6), p.705-718
Hauptverfasser: Wasadikar, M. P., Nimbhorkar, S. K.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
bounded lattice
Mathematics
Mathematics and Statistics
Primary 06D99
pseudo-rank function
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Beschreibung
Zusammenfassung:Pseudo-rank functions on bounded lattices are introduced and their properties are studied. It is shown that if the set of all pseudo-rank functions on a Boolean lattice is nonempty then it is a Choquet simplex.
ISSN:0139-9918
1337-2211
DOI:10.2478/s12175-009-0158-8