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 …

An Overview of the Computational Aspects of Nonunique Factorization Invariants | SpringerLink
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A Puiseux monoid is an additive submonoid of the nonnegative rational numbers. If M is a
Puiseux monoid, then the question of whether each nonunit element of M can be written as a …

Nonunique factorization in commutative monoids is often studied using factorization
invariants, which assign to each monoid element a quantity determined by the factorization …

In this paper, we study the atomic structure of the family of Puiseux monoids, ie the additive
submonoids of ℚ≥ 0. Puiseux monoids are a natural generalization of numerical …

A realization theorem for sets of lengths in numerical monoids Skip to content Should you have
institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD …

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 …

Nonunique factorization in cancellative commutative semigroups is often studied using
combinatorial factorization invariants, which assign to each semigroup element a quantity …

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 …