# Arithmetic of additively reduced monoid semidomains

@inproceedings{Chapman2022ArithmeticOA, title={Arithmetic of additively reduced monoid semidomains}, author={Scott T. Chapman and Harold Polo}, year={2022} }

. A subset S of an integral domain R is called a semidomain if the pairs ( S, +) and ( S, · ) are semigroups with identities; additionally, we say that S is additively reduced provided that S contains no additive inverses. Given an additively reduced semidomain S and a torsion-free monoid M , we denote by S [ M ] the semidomain consisting of polynomial expressions with coeﬃcients in S and exponents in M ; we refer to these objects as additively reduced monoid semidomains. We study the…

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