We study some of the factorization invariants of the class of Puiseux monoids generated by
geometric sequences, and we compare and contrast them with the known results for …

We examine the Delta set of a cancellative and reduced atomic monoid S where every set of
lengths of the factorizations of each element in S is bounded. In particular, we show the …

Let M be a numerical monoid (ie, an additive submonoid of N _0) with minimal generating
set ⟨ n_1,..., n_t ⟩. For m ∈ M, if m= i= 1^ t x_ i n_ i, then i= 1^ t x_ i is called a factorization …

A numerical monoid is an additive submonoid of the non-negative integers. Given a
numerical monoid S, consider the family of “shifted” monoids M n obtained by adding n to …

Every day, 34 million Chicken McNuggets are sold worldwide [4]. At most McDonalds
locations in the United States today, Chicken McNuggets are sold in packs of 4, 6, 10, 20 …

Abstract Let {a_1, ..., a_p\} a 1,…, ap be the minimal generating set of a numerical monoid S.
For any s ∈ S s∈ S, its Delta set is defined by Δ (s)={l_ i-l_ i-1 ∣ i= 2, ..., k\} Δ (s)= li-li-1∣ i …

Let M be a commutative, cancellative, atomic monoid and xa nonunit in M. We define ω (x)=
n if n is the smallest positive integer with the property that whenever x∣ a 1⋅⋅⋅ at, where …

Several recent articles have studied the structure of the delta set of a numerical monoid. We
continue this work with the assumption that the generating set S chosen for the numerical …

Delta sets for nonsymmetric numerical semigroups with embedding dimension three Skip to
content Should you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ …

Questions concerning the lengths of factorizations into irreducible elements in numerical
monoids have gained much attention in the recent literature. In this note, we show that a …