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Groups Complexity Cryptology

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Algebraic geometry over natural numbers. The classification of coordinate monoids

A. Shevlyakov1

1Omsk Branch of Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Pevtsova st. 13, 644099 Omsk, Russia. E-mail:

Citation Information: Groups – Complexity – Cryptology. Volume 2, Issue 1, Pages 91–111, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: 10.1515/gcc.2010.007, June 2010

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In this paper we classify the coordinate ℕ-monoids of algebraic sets over the additive monoid of natural numbers.

Keywords.: Universal algebraic geometry; coordinate monoid; system of equations

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