We examine the problem of projecting subsets of a commutative, positively ordered monoid into an o-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.
Cassese, G. (2022). The projection problem in commutative, positively ordered monoids. SEMIGROUP FORUM, 105(2), 374-384 [10.1007/s00233-022-10308-z].
The projection problem in commutative, positively ordered monoids
Cassese, G
2022
Abstract
We examine the problem of projecting subsets of a commutative, positively ordered monoid into an o-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.
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