2021/08/06 by Polo, Harold
#06F05 #20M14 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary: 20M13 #Secondary: 16Y60
paper · doi:10.48550/arxiv.2108.03195
We provide a characterization of the positive monoids (i.e., additive submonoids of the nonnegative real numbers) that satisfy the finite factorization property. As a result, we establish that positive monoids with well-ordered generating sets satisfy the finite factorization property, while positive monoids with co-well-ordered generating sets satisfy this property if and only if they satisfy the bounded factorization property.