caa a22 4500 445344768 CHVBK 20180317142825.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00233-010-9270-x doi (NATIONALLICENCE)springer-10.1007/s00233-010-9270-x Cao Yonglin Institute of Applied Mathematics, School of Sciences, Shandong University of Technology, Shandong Province, 255091, Zibo, P.R. China aut On finitely presented, cancellative and commutative ordered monoids [Elektronische Daten] [Yonglin Cao] We show that every finitely presented, cancellative and commutative ordered monoid is determined by a finitely generated and cancellative pseudoorder on the monoid (ℕn,+) for some positive integer n. Every cancellative pseudoorder on (ℕn,+) is determined by a submonoid of the group (ℤn,+), and we prove that the pseudoorder is finitely generated if and only if the submonoid is an affine monoid inℤn. Springer Science+Business Media, LLC, 2010 Finitely presented commutative ordered monoids nationallicence Finitely generated pseudoorder nationallicence Positive cone nationallicence Affine monoid nationallicence Semigroup Forum Springer-Verlag 82/1(2011-02-01), 121-130 0037-1912 82:1<121 2011 82 233 https://doi.org/10.1007/s00233-010-9270-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-010-9270-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cao Yonglin Institute of Applied Mathematics, School of Sciences, Shandong University of Technology, Shandong Province, 255091, Zibo, P.R. China aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 82/1(2011-02-01), 121-130 0037-1912 82:1<121 2011 82 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer