Abstract
We show that every finitely presented, cancellative and commutative ordered monoid is determined by a finitely generated and cancellative pseudoorder on the monoid (ℕ n ,+) for some positive integer n. Every cancellative pseudoorder on (ℕ n ,+) is determined by a submonoid of the group (ℤ n ,+), and we prove that the pseudoorder is finitely generated if and only if the submonoid is an affine monoid in ℤ n .
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