INVESTIGADORES
HOLIK Federico Hernan
artículos
Título:
On the representation of measures over bounded lattices
Autor/es:
MASSRI, CÉSAR; HOLIK, FEDERICO
Revista:
ALGEBRA UNIVERSALIS
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Año: 2021 vol. 82
ISSN:
0002-5240
Resumen:
In this paper we investigate measures over bounded lattices,extending and giving a unifying treatment to previous works. In particular, we prove that the measures of an arbitrary bounded lattice can be represented as measures over a suitably chosen Boolean lattice. Using techniques from algebraic geometry, we also prove that given a boundedlattice X there exists a scheme X such that a measure over X is the same as a (scheme-theoretic) measure over X . We also define the measurability of a lattice, and describe measures over finite lattices.
