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

numericalsgps, a GAP package for numerical semigroups Page 1 ACM Communications in
Computer Algebra, Vol. 50, No. 1, Issue 195, March 2016 numericalsgps, a GAP package for …

Oftentimes the elements of a ring or semigroup can be written as finite products of
irreducible elements. An element a can be a product of k irreducibles and a product of l …

An Overview of the Computational Aspects of Nonunique Factorization Invariants | SpringerLink
Skip to main content Advertisement SpringerLink Account Menu Find a journal Publish with us …

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

We extend a few fundamental aspects of the classical theory of non-unique factorization, as
presented in Geroldinger and Halter-Koch's 2006 monograph on the subject, to a non …

We study the non-uniqueness of factorizations of non zero-divisors into atoms (irreducibles)
in noncommutative rings. To do so, we extend concepts from the commutative theory of non …

Arithmetical invariants—such as sets of lengths, catenary and tame degrees—describe the
non-uniqueness of factorizations in atomic monoids. We study these arithmetical invariants …

We construct an algorithm which computes the catenary and tame degree of a numerical
monoid. As an example we explicitly calculate the catenary and tame degree of numerical …

AFFINE SEMIGROUPS HAVING A UNIQUE BETTI ELEMENT Page 1 Journal of Algebra and Its
Applications Vol. 12, No. 3 (2013) 1250177 (11 pages) c© World Scientific Publishing Company …