On finitely presented,cancellative and commutative ordered monoids |
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Authors: | Yonglin Cao |
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Institution: | 1.Institute of Applied Mathematics, School of Sciences,Shandong University of Technology,Zibo,P.R. China |
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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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Keywords: | |
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