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Non-extendability of semilattice-valued measures on partially ordered sets

For a distributive join-semilattice S with zero, a S-valued poset measure on a poset P is a map m:PxP->S such that m(x,z) <= m(x,y)vm(y,z), and x <= y implies that m(x,y)=0, for all x,y,z in P. In relation with congruence lattice representation problems, we consider the problem whether such...

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Detalles Bibliográficos
Autor principal: Wehrung, F
Lenguaje:eng
Publicado: 2005
Materias:
Acceso en línea:http://cds.cern.ch/record/903521