This is a survey on factorization theory. We discuss finitely generated monoids (including
affine monoids), primary monoids (including numerical monoids), power sets with set …

Primary and strongly primary monoids and domains play a central role in the ideal and
factorization theory of commutative monoids and domains. It is well-known that primary …

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 …

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

Transfer Krull monoids are monoids which allow a weak transfer homomorphism to a
commutative Krull monoid, and hence the system of sets of lengths of a transfer Krull monoid …

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 …

Transfer Krull monoids are a recently introduced class of monoids and include the
multiplicative monoids of all commutative Krull domains as well as of wide classes of non …

Let M be an atomic monoid and let x be a non-unit element of M. The elasticity of x, denoted
by ρ (x), is the ratio of its largest factorization length to its shortest factorization length, and it …

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 …

Let H be an atomic monoid. The set of distances Δ (H) of H is the set of all d∈ N with the
following property: there are irreducible elements u 1,…, uk, v 1…, v k+ d such that u 1⋅…⋅ …