Semilattices, Canonical Embeddings and Representing Measures

Gianluca Cassese
Arxiv ID: 1006.2260Last updated: 3/3/2020
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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