3 papers
math.AC2024
On the atomicity of power monoids of Puiseux monoids
Victor Gonzalez, Eddy Li, Henrick Rabinovitz +2
A submonoid of the additive group is called a Puiseux monoid if it consists of nonnegative rationals. Given a monoid , the set consisting of all nonempty finite sub…
math.AC2023
On the ascent of atomicity to monoid algebras
Felix Gotti, Henrick Rabinovitz
A commutative cancellative monoid is atomic if every non-invertible element factors into irreducibles (also called atoms), while an integral domain is atomic if its multiplicative…
math.AC2023
The Furstenberg property in Puiseux monoids
Andrew Lin, Henrick Rabinovitz, Qiao Zhang
Let be a commutative monoid. The monoid is called atomic if every non-invertible element of factors into atoms (i.e., irreducible elements), while is called a Furst…