2 papers
math.AC2026
The space of preorders on a commutative monoid
Jan Draisma, George Metcalfe, Simon Santschi
For a finitely generated commutative monoid , we present a constructive description of all (total) preorders on that are compatible with the monoid structure. Equipped wit…
math.LO2024
Equational theories of idempotent semifields
George Metcalfe, Simon Santschi
This paper provides answers to several open problems about equational theories of idempotent semifields. In particular, it is proved that (i) no equational theory of a non-trivial…