3 papers
math.AC2021
Length-factoriality in commutative monoids and integral domains
Scott T. Chapman, Jim Coykendall, Felix Gotti +1
An atomic monoid is called a length-factorial monoid (or an other-half-factorial monoid) if for each non-invertible element no two distinct factorizations of have…
math.AC2019
On the atomicity of monoid algebras
Jim Coykendall, Felix Gotti
Let be a commutative cancellative monoid, and let be an integral domain. The question of whether the monoid ring is atomic provided that both and are atomi…
math.AC2013
Elasticity in polynomial-type extensions
Mark Batell, Jim Coykendall
The elasticity of an atomic integral domain is, in some sense, a measure of how far the domain is from being a unique factorization domain (or, more properly, a half-factorial doma…