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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 258–269 (Mi timm567)  
This article is cited in 5 scientific papers (total in 5 papers)

Algebraic geometry over the monoid of natural numbers. Irreducible algebraic sets

A. Shevlyakov

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
Full-text PDF (192 kB) Citations (5)
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Abstract: Irreducible coordinate monoids of algebraic sets over the additive monoid of natural numbers are described. An arbitrary algebraic set over $\mathbb N$ is decomposed into the union of irreducible components, and the properties of the irreducible components are investigated.
Keywords: natural numbers, algebraic geometry, monoid, universal closure.
Received: 27.07.2009
Bibliographic databases:
Document Type: Article
UDC: 512.53
Language: Russian
Citation: A. Shevlyakov, “Algebraic geometry over the monoid of natural numbers. Irreducible algebraic sets”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 258–269
Citation in format AMSBIB
\Bibitem{She10}
\by A.~Shevlyakov
\paper Algebraic geometry over the monoid of natural numbers. Irreducible algebraic sets
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 2
\pages 258--269
\mathnet{http://mi.mathnet.ru/timm567}
\elib{https://elibrary.ru/item.asp?id=14809463}
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  • https://www.mathnet.ru/eng/timm/v16/i2/p258
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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