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Semilattices, Canonical Embeddings and Representing Measures (1006.2260v6)

Published 11 Jun 2010 in math.PR

Abstract: We provide conditions under which a modular function defined on a semilattice $X$ and with values in a commutative group is homomorphic to a modular function on a lattice $L$ for any embedding $X\hookrightarrow L$.

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