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math.AC2024
Goldbach theorems for group semidomains
Eddy Li, Advaith Mopuri, Charles Zhang
A semidomain is a subsemiring of an integral domain. We call a semidomain additively reduced if is the only invertible element of the monoid , while we say that …
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…