Let be a commutative cancellative atomic monoid. We use unions of sets of lengths in to construct the -Delta set of . We first derive some basic properties of -Delta sets and then show how they offer a method to investigate the asymptotic behavior of the sizes of unions of sets of lengths.
"On the asymptotic behavior of unions of sets of lengths in atomic monoids." Involve 1 (1) 101 - 110, 2008. https://doi.org/10.2140/involve.2008.1.101