Algebraic Geometry over the Additive Monoid of Natural Numbers: Systems of Coefficient Free Equations

  • Pavel V. Morar
  • Artem N. Shevlyakov
Part of the Trends in Mathematics book series (TM)


In the paper we consider homogeneous systems of linear equations and classify coordinate monoids over the additive monoid of natural numbers which are defined by such systems. Further, we apply our results to the wide class of commutative monoids.

Mathematics Subject Classification (2000)



Universal algebraic geometry natural numbers equations coordinate monoids 


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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  • Pavel V. Morar
    • 1
  • Artem N. Shevlyakov
    • 1
  1. 1.Omsk Department of Institute of MathematicsSiberian Branch of the Russian Academy of SciencesOmskRussia

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