The Projection Problem in Commutative, Positively Ordered Monoids
Commutative Algebra
2022-08-25 v6 Logic
Abstract
We examine the problem of projecting subsets of a commutative, positively ordered monoid into an -ideal. We prove that to this end one may restrict to a sufficient subset, for whose cardinality we provide an explicit upper bound. Several applications to set functions, vector lattices and other more explicit structures are provided.
Keywords
Cite
@article{arxiv.1907.10400,
title = {The Projection Problem in Commutative, Positively Ordered Monoids},
author = {Gianluca Cassese},
journal= {arXiv preprint arXiv:1907.10400},
year = {2022}
}